Mathematics J Ss 3 Lagos State Ministry Of Education (Edvi)

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  • 1/70 Questions

    Write in words: 1,347,000              

    • A) One million four hundred and forty seven thousand
    • B) One million three hundred and forty seven thousand
    • C) One million, three hundred and seventy four thousand
    • D) One million, seven hundred and thirty four thousand.
    • E) one million
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About This Quiz

This Mathematics quiz, designed for Senior Secondary School 3 under Lagos State Ministry of Education guidelines, assesses understanding of fractions, square roots, and significant figures. It's aimed at enhancing mathematical skills crucial for academic progression.

Mathematics J Ss 3 Lagos State Ministry Of Education (Edvi) - Quiz

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  • 2. 

    The table shows cost of oranges.      No of Oranges Price N A 5 100 B 6 120 C 7 140 D 8 160     What is the cost of 5 oranges?

    • A.  N160.00

    • B.  N120.00

    • C.  N140.00

    • D.  N100.00

    • E.  N45.00

    Correct Answer
    A. D.  N100.00
    Explanation
    The cost of 5 oranges is N100.00 because according to the table, the price for 5 oranges is N100.00.

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  • 3. 

    Find the missing number in 25, 27, 29, _______, ________, ________             

    • A) 31, 33, 35

    • B) 32, 35, 38

    • C) 31, 34, 36

    • D) 32, 34, 36  

    • E) 34,33,54

    Correct Answer
    A. A) 31, 33, 35
    Explanation
    The missing numbers follow a pattern of increasing by 2. Starting from 25, each number increases by 2 to get the next number. Therefore, the missing numbers should also follow this pattern. The correct answer is option a) 31, 33, 35, as these numbers increase by 2 from the given sequence.

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  • 4. 

    Identify this shape

    • A. Cone

    • B. Cylinder

    • C. Sphere

    • D. Circle

    • E. funnel

    Correct Answer
    A. A. Cone
    Explanation
    The shape in question is a cone. A cone is a three-dimensional geometric shape that has a circular base and a pointed top. It resembles a triangle when viewed from the side. The other options, such as cylinder, sphere, circle, and funnel, do not have the same characteristics as a cone.

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  • 5. 

    The following are polygons EXCEPT ___

    • A. Circle

    • B. quadrilateral

    • C. hexagon

    • D. heptagon

    Correct Answer
    A. A. Circle
    Explanation
    A circle is not considered a polygon because it does not have straight sides. A polygon is defined as a closed figure with straight sides. In contrast, a circle is a curved shape with no straight sides. Therefore, the correct answer is A. Circle.

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  • 6. 

    Express 84 as a product of prime factors   

    • A)  2 x 3 x 7 

    • B)  2 x 2 x 3 x 7  

    • C)  2 x 2 x 7  

    • D)  2 x 3 x 3 x 7  

    • E) 3 x 3 x 7

    Correct Answer
    A. B)  2 x 2 x 3 x 7  
    Explanation
    The number 84 can be expressed as a product of prime factors by dividing it by prime numbers until the quotient is 1. Starting with the smallest prime number, 2, we divide 84 by 2 to get 42. We continue dividing by 2 until we can no longer divide evenly, which gives us 21. Next, we divide 21 by 3 to get 7. Finally, we divide 7 by 7, which gives us 1. Therefore, the prime factorization of 84 is 2 x 2 x 3 x 7, which is option b).

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  • 7. 

     Find the sum of 29.34 and 837.5.

    • A) 867.84   

    • B) 1020.9   

    • C) 1030.9     

    • D) 866.84  

    • E) 4658.66

    Correct Answer
    A. D) 866.84  
    Explanation
    To find the sum of 29.34 and 837.5, we can add the two numbers together. When we add 29.34 and 837.5, we get 866.84. Therefore, the correct answer is d) 866.84.

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  • 8. 

    Find the sum of 6y and 2y        

    • A) 6y

    • B) 10y

    • C) 8y

    • D) 12y

    • E) 45y

    Correct Answer
    A. C) 8y
    Explanation
    The correct answer is c) 8y because when you add 6y and 2y together, you get 8y.

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  • 9. 

    Simplify 4k + 11k – 7k

    • A)  6k

    • B)  10k

    • C)  8k

    • D)  4k

    • E) 12k

    Correct Answer
    A. C)  8k
    Explanation
    The given expression is 4k + 11k - 7k. We can simplify this expression by combining like terms. The like terms in this expression are the terms with the variable k. Adding the coefficients of these terms, we get 4 + 11 - 7 = 8. Therefore, the simplified expression is 8k, which matches option c) 8k.

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  • 10. 

     In a leap year, the month of February has _________ days

    • A) 28     

    • B) 29    

    • C) 30      

    • D) 31   

    • E) 21

    Correct Answer
    A. B) 29    
    Explanation
    In a leap year, the month of February has 29 days. This is because a leap year occurs every four years and adds an extra day to the calendar to account for the slightly longer time it takes for the Earth to orbit the sun.

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  • 11. 

      Express 5/7 as an equivalent fraction.

    • A) 4/7    

    • B) 7/17   

    • C) 10/14    

    • D) 6/7  

    • E) 4/6

    Correct Answer
    A. C) 10/14    
    Explanation
    To express 5/7 as an equivalent fraction, we need to find a fraction that has the same value but with different numerator and denominator. To do this, we can multiply both the numerator and denominator of 5/7 by the same number. In this case, we can multiply both by 2 to get 10/14. Therefore, the correct answer is c) 10/14.

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  • 12. 

    A straight line three adjacent angles. If the sum of two of the angles is 1200, what is the value of the third again?

    • A) 300      

    • B) 500     

    • C) 400     

    • D) 600  

    • E) 1600  

    Correct Answer
    A. D) 600  
    Explanation
    In a straight line, the sum of all three adjacent angles is always 180 degrees. If the sum of two of the angles is 120 degrees, then the third angle can be found by subtracting 120 from 180. Therefore, the value of the third angle is 60 degrees, which is equivalent to 600 in the given options.

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  • 13. 

    Simplify: 2y +y + 5y.

    • A) 5y   

    • B) 8y   

    • C) 7y    

    • D) 4y 

    • E) 14y

    Correct Answer
    A. B) 8y   
    Explanation
    The given expression is 2y + y + 5y. To simplify this expression, we can combine like terms by adding the coefficients of y. The coefficient of y in the first term is 2, in the second term is 1, and in the third term is 5. Adding these coefficients together, we get 2 + 1 + 5 = 8. Therefore, the simplified expression is 8y.

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  • 14. 

    Find the sum of 695 and 455 and then divide the result by the difference between 39 and 34              

    • A) 247

    • B) 235

    • C) 259

    • D) 245

    • E) 230

    Correct Answer
    A. E) 230
    Explanation
    To find the sum of 695 and 455, we add the two numbers together: 695 + 455 = 1150. Then, we find the difference between 39 and 34: 39 - 34 = 5. Finally, we divide the sum (1150) by the difference (5): 1150 / 5 = 230. Therefore, the correct answer is e) 230.

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  • 15. 

    Express 18 as a product of its prime factors.  

    • A. 3x3=32                         

    • B. 2x3x3=21x3

    • C. 2x2x3x3 = 22x32      

    • D. 2x2x3=22x31  

    Correct Answer
    A. B. 2x3x3=21x3
    Explanation
    The correct answer is B. 2x3x3=21x3. This is the correct factorization of 18 into its prime factors. The number 18 can be expressed as the product of the prime numbers 2, 3, and 3.

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  • 16. 

    Calculate the perimeter of a square of side 15.2cm       

    • A) 60.8cm

    • B) 40.8cm

    • C) 78.0cm

    • D) 78.8cm

    • E) 45.67cm

    Correct Answer
    A. A) 60.8cm
    Explanation
    The perimeter of a square is calculated by adding up the lengths of all four sides. In this case, the side length is given as 15.2cm. Therefore, the perimeter would be 15.2cm + 15.2cm + 15.2cm + 15.2cm = 60.8cm.

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  • 17. 

    1. Find the value of 16 x 2 – 3 + 14 ÷ 7       

    • A.  41  

    • B.     45    

    • C.    24   

    • D.  47     

    •  E.   31

    Correct Answer
    A.  E.   31
    Explanation
    The given expression is 16 x 2 - 3 + 14 ÷ 7. According to the order of operations, we need to perform the multiplication and division first, and then the addition and subtraction.
    16 x 2 = 32
    14 ÷ 7 = 2
    So, the expression becomes 32 - 3 + 2.
    Next, we perform the subtraction and addition from left to right.
    32 - 3 = 29
    29 + 2 = 31.
    Therefore, the value of the expression is 31.

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  • 18. 

    Find the HCF of 7x2y, 14xy2 and 35yz2        

    • A) 6y  

    •  b)    7y   

    • C)   10y   

    • D)  12y  

    • E) 15

    Correct Answer
    A.  b)    7y   
    Explanation
    The given numbers are 7x^2y, 14xy^2, and 35yz^2. To find the highest common factor (HCF), we need to find the common factors of these numbers. The common factors are 7, y, and a power of x or z. The highest common factor is the product of these common factors, which is 7y. Therefore, the correct answer is b) 7y.

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  • 19. 

    Sola made two types of cookies, she used 2/3 cup of sugar for one recipe and ¼ cup of sugar for the other. What quantity of sugar did she use in all?

    • A) 10/12    

    • B) 9/12   

    • C) 11/12    

    • D) 13/12  

    • E) 13/14

    Correct Answer
    A. C) 11/12    
    Explanation
    Sola used 2/3 cup of sugar for one recipe and 1/4 cup of sugar for the other recipe. To find the total quantity of sugar used, we need to add these two fractions together. To add fractions, we need to have a common denominator. In this case, the common denominator is 12. So, we convert 2/3 to 8/12 and 1/4 to 3/12. Adding these fractions, we get 8/12 + 3/12 = 11/12. Therefore, Sola used 11/12 cup of sugar in total.

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  • 20. 

    Find the missing number in            3 1 1 2                                                     +  x x x x                                                        5 2 0 2 

    • A) 2280  

    • B) 2180    

    • C) 2190    

    • D) 2090   

    • E) 2566

    Correct Answer
    A. D) 2090   
    Explanation
    In the given equation, the missing numbers can be represented as follows:

    3 1 1 2
    + x x x x
    5 2 0 2

    From the equation, we can determine that the sum of the first column is 5, the sum of the second column is 2, the sum of the third column is 0, and the sum of the fourth column is 2.

    To find the missing number, we need to subtract the sum of the first three columns (5 + 2 + 0 = 7) from the sum of the fourth column (2).

    Therefore, the missing number is 2 - 7 = -5.

    Adding this missing number to the given equation, we get:

    3 1 1 2
    + -5 -5 -5 -5
    5 2 0 2

    This equation is satisfied, so the missing number is -5.

    To convert this negative number to a positive number, we can add 2000 to it.

    Therefore, the correct answer is 2000 - 5 = 2090.

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  • 21. 

    Arrange these integers in ascending order -9,   -10, -3,  5,  6,  3.

    • A)  -9, -10, -3, 3, 5, 6

    • B)  3,  -10,  9,  3,  5, 6

    • C)  3, 3, 5, 6, -9,  -10

    • D)  -10,  -9,  -3, 3, 5, 6 

    •       e) -10, -3, 6, 5, -9, 3

    Correct Answer
    A. D)  -10,  -9,  -3, 3, 5, 6 
    Explanation
    The correct answer is d) -10, -9, -3, 3, 5, 6. This is the correct arrangement of the given integers in ascending order. Starting from the smallest integer, -10 comes first, followed by -9, -3, 3, 5, and 6.

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  • 22. 

    Simplify 3t – 3 = 9 – t, find t.              

    • A) 2     

    • B) 6      

    • C) 3      

    • D) 4   

    • E) 5

    Correct Answer
    A. C) 3      
    Explanation
    To solve the equation, we can start by simplifying both sides. On the left side, we can combine like terms by subtracting 3t from both sides, which gives us 6 = 12 - t. Then, we can further simplify by subtracting 12 from both sides, resulting in -6 = -t. Finally, we can solve for t by multiplying both sides by -1, giving us t = 6. Therefore, the correct answer is c) 3.

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  • 23. 

    1. A man spends 1/4 of his monthly income on children’s school fees and ⅗ on home affairs. What fraction of his income is left?  

    • A.    3/12    

    •   B.   3/ 10  

    • C. 3/5    

    • D. 1/20    

    • E.   3/20

    Correct Answer
    A. E.   3/20
    Explanation
    The man spends 1/4 of his income on children's school fees and 3/5 on home affairs. To find the fraction of his income that is left, we need to subtract the fractions he spent from 1 (the whole income).

    1 - 1/4 - 3/5 = 20/20 - 5/20 - 12/20 = 3/20

    Therefore, the fraction of his income that is left is 3/20.

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  • 24. 

    1. Three brothers shared some oranges in the ratio 6: 4 : 2. If the brother with the largest share had 150 oranges, find the number of oranges shared.

    • A.200  

    • B.  250   

    • C. 150     

    • D.  350  

    • E.   300

    Correct Answer
    A. E.   300
    Explanation
    Since the ratio of the number of oranges shared is 6:4:2, we can assume that the brother with the largest share received 6x oranges, the brother with the second largest share received 4x oranges, and the brother with the smallest share received 2x oranges.

    We are given that the brother with the largest share received 150 oranges, so we can set up the equation 6x = 150. Solving for x, we find that x = 25.

    Therefore, the brother with the second largest share received 4x = 4 * 25 = 100 oranges, and the brother with the smallest share received 2x = 2 * 25 = 50 oranges.

    The total number of oranges shared is 6x + 4x + 2x = 12x = 12 * 25 = 300 oranges.

    Therefore, the correct answer is E. 300.

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  • 25. 

    Find the difference between the length and breadth of a football field which measured           125.45m  and 54.36m.         

    • A) 710.9m

    • B) 0.7109m

    • C) 7.109m

    • D) 71.09m

    • E) 45.5m

    Correct Answer
    A. D) 71.09m
    Explanation
    The difference between the length and breadth of the football field can be found by subtracting the breadth from the length. Therefore, the difference is 125.45m - 54.36m = 71.09m.

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  • 26. 

     Find the area of a parallelogram with base 8cm and vertical height 5cm.

    • A) 40 cm2 

    • B) 20 cm2  

    • C) 13 cm2 

    • D) 80 cm 

    • E) 40cm

    Correct Answer
    A. A) 40 cm2 
    Explanation
    The area of a parallelogram is calculated by multiplying the base by the vertical height. In this case, the base is 8cm and the vertical height is 5cm. Multiplying these values gives us 40cm2, which is the correct answer.

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  • 27. 

    Find the coefficient of y in 33y + 9.

    • A) 34    

    • B) 33   

    • C) 41     

    • D) 42  

    • E) 3

    Correct Answer
    A. B) 33   
    Explanation
    The coefficient of y in the expression 33y + 9 is 33. This is because the coefficient is the number that is multiplied by the variable, in this case y. So, the coefficient of y is 33.

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  • 28. 

    1. Approximate 0.007349 to 3 significant figure   

    • A. 0.073      

    •  B. 0.00007      

    • C. 0.0074      

    • D.  0.00735    

    • E. 0.000735

    • Option 6

    Correct Answer
    A. D.  0.00735    
    Explanation
    The given number, 0.007349, has four significant figures. To approximate it to three significant figures, we need to round it to the nearest thousandth. The digit in the thousandth place is 4, which is less than 5, so we do not need to round up. Therefore, the correct answer is 0.00735.

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  • 29. 

    Find the value of x in the figure below  

    • A. 6m    

    • B. 12m   

    •  C. 23m  

    • D. 16m  

    • E. 40m

    Correct Answer
    A. B. 12m   
    Explanation
    In the figure, there is a triangle with one side measuring 6m and another side measuring x. The third side of the triangle is marked with a question mark. Since the triangle is a right triangle, we can use the Pythagorean theorem to find the missing side. According to the theorem, the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side (hypotenuse). In this case, we have 6^2 + x^2 = ?^2. Since the answer is 12m, we can substitute it into the equation: 6^2 + x^2 = 12^2. Solving this equation, we find that x^2 = 144 - 36 = 108. Taking the square root of both sides, we get x = √108. Simplifying further, x ≈ 10.39. Since x is approximately equal to 10.39, the closest option is B. 12m.

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  • 30. 

    Express 0.504 as a fraction in its lowest term.    

    •   A. 63/125  

    • B. 63/25 

    • C. 163/125 

    • D. 63/15  

    • E. 3/5

    Correct Answer
    A.   A. 63/125  
    Explanation
    The decimal 0.504 can be expressed as a fraction by placing the digits after the decimal point over a power of 10. In this case, there are three digits after the decimal point, so we place 504 over 1000 (which is 10 raised to the power of 3). To simplify the fraction to its lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 8. Simplifying 504/1000 gives us 63/125, which is option A.

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  • 31. 

    Factorize 5 + 3x – 2x2        

    • A.    (1 + x)(5 – 2x)  

    • B. (2-5x)  

    • C.    (1 - x)(5 – 2x)  

    • D. (2-5x)(x-3x)  

    • E. (3-2x-3x)

    Correct Answer
    A. A.    (1 + x)(5 – 2x)  
    Explanation
    The given expression is 5 + 3x - 2x^2. To factorize this expression, we can look for common factors. The common factor here is x, so we can factor out x from each term: x(5 + 3 - 2x). Simplifying further, we get x(8 - 2x). Now, we can factor out a common factor of 2 from the second term: x(2(4 - x)). Finally, we can rearrange the terms to get the factored form: 2x(4 - x). This matches option A, (1 + x)(5 - 2x), so the correct answer is A.

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  • 32. 

    Evaluate (11101two x 11two) + 101two 

    • a) 101100 two

    • B) 1100two

    • C) 10100two

    • (d) 1011100two

    • E) 111100two

    Correct Answer
    A. (d) 1011100two
    Explanation
    To evaluate the given expression, we first need to convert the binary numbers to decimal.
    11101two is equal to 29 in decimal, and 11two is equal to 3 in decimal.
    So, the expression becomes (29 x 3) + 5.
    Multiplying 29 and 3 gives us 87.
    Adding 87 and 5 gives us 92.
    Now, we need to convert 92 back to binary.
    92 in binary is 1011100two.
    Therefore, the correct answer is (d) 1011100two.

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  • 33. 

    1. Evaluate   √2 7/9              

    •   A. 2/9  

    • B. 3/5  

    • C.  2/3     

    • D.   12/3                

    • E. 7/3

    Correct Answer
    A. D.   12/3                
    Explanation
    The given expression can be simplified as follows:

    √2 7/9 = √(2 + 7/9) = √(18/9 + 7/9) = √(25/9) = √(5^2/3^2) = 5/3

    Therefore, the correct answer is D. 12/3, which is equivalent to 5/3.

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  • 34. 

    A particular network service provider charges 20k per second to make a call. For how many minutes will a customer call with ₦120.00 airtime?             

    • A. 8   

    • B. 9  

    • C.  12   

    • D. 10  

    • E. 17 

    Correct Answer
    A. D. 10  
    Explanation
    The customer has ₦120.00 airtime. The network service provider charges 20k per second for a call. To determine how many minutes the customer can call for, we need to convert the airtime to kobo (₦1 = 100kobo) and then divide it by the cost per second (20k). ₦120.00 is equal to 12000 kobo. Dividing 12000 by 20 gives us 600 seconds. Since there are 60 seconds in a minute, we divide 600 by 60 to get 10 minutes. Therefore, the customer can call for 10 minutes with ₦120.00 airtime.

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  • 35. 

    1. Evaluate (1/2)-2   

    • A. 2        

    • B. ½    

    •   C.  ¼   

    •   D. 3    

    •     E.   4

    Correct Answer
    A.     E.   4
  • 36. 

    A man moves 7 steps to the right on a number line and then moved 10 steps to the left, he finally moved 2 steps to the right. If his starting point is -2, where did he finally stop?

    • A) -1     

    • B) -3      

    • C) 0      

    • D) +1   

    • E) +4

    Correct Answer
    A. B) -3      
    Explanation
    The man initially moves 7 steps to the right, which brings him to the position +5. Then, he moves 10 steps to the left, which brings him to the position -5. Finally, he moves 2 steps to the right, which brings him to the position -3. Therefore, the man finally stops at the position -3.

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  • 37. 

    1. Factorise 8y – 32y3 completely. 

    • A. 8y (1-4y)  

    • B. (1-2y)(1+2y) 

    • C. 8y ( 2y – 6y)

    •  D. 8y(1 – 2y)(1 + 2y)   

    • E.   24y - 32y3               

    Correct Answer
    A.  D. 8y(1 – 2y)(1 + 2y)   
    Explanation
    The correct answer is D. 8y(1 – 2y)(1 + 2y). This is the correct factorization of the given expression. It can be obtained by factoring out the common factor of 8y and then applying the difference of squares formula to the remaining quadratic expression (1 – 4y^2). This gives us (1 – 2y)(1 + 2y), which when multiplied by 8y gives us the final factorization.

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  • 38. 

    1. If 35% discount is given on a trouser which costs ₦3,000.00, how much will a buyer pay for the trouser?   A. ₦1,650      B.    ₦2,050      C.   ₦1,950.00      D.  ₦2,300    E. ₦1,050 

    • A. ₦1,650      

    • B.    ₦2,050    

    •   C.   ₦1,950.00     

    • D.  ₦2,300   

    • E. ₦1,050

    Correct Answer
    A.   C.   ₦1,950.00     
    Explanation
    The correct answer is C. ₦1,950.00. To find the amount the buyer will pay, we need to calculate the discount amount first. The discount is 35% of ₦3,000.00, which is ₦1,050.00. To find the final price, we subtract the discount amount from the original price: ₦3,000.00 - ₦1,050.00 = ₦1,950.00. Therefore, the buyer will pay ₦1,950.00 for the trouser.

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  • 39. 

    1. What is the place value of 7 in the number 526.97?        

    • A. Tens   

    • B. hundred   

    • C.   tenth  

    • D.  unit  

    •   E.  7 hundredths

    Correct Answer
    A.   E.  7 hundredths
    Explanation
    The place value of 7 in the number 526.97 is 7 hundredths. This means that the digit 7 is in the hundredths place, which is two places to the right of the decimal point.

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  • 40. 

    A cuboid has length = 15cm, breadth = 13cm and height = 9cm. calculate the area of the wide surface.

    • A) 1755 cm2  

    • B) 135 cm2   

    • C) 195 cm2    

    • D) 117 cm2 

    • E) 195cm

    Correct Answer
    A. C) 195 cm2    
    Explanation
    The area of the wide surface of a cuboid is calculated by multiplying the length and breadth of the cuboid. In this case, the length is 15cm and the breadth is 13cm. Therefore, the area of the wide surface is 15cm * 13cm = 195 cm2.

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  • 41. 

    1. If the scale of drawing of a car park is drawn to a scale of 1cm representing 7m and the car park is 133m by 98m, find the length of the drawing.          

    • A. 16cm    

    • B.    19cm       

    • C. 21cm  

    • D. 30cm 

    • E. 27cm

    Correct Answer
    A. C. 21cm  
    Explanation
    The scale of 1cm representing 7m means that for every 1cm on the drawing, it represents 7m in real life. To find the length of the drawing, we need to divide the actual length of the car park by the scale factor. The actual length of the car park is 133m, so dividing it by 7 gives us 19cm. Therefore, the length of the drawing is 19cm.

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  • 42. 

    1. Find the diameter of a circle whose circumference is 44cm.         

    • A. 56cm  

    • B.  24cm  

    • C. 36cm                         

    • D.   14cm  

    • E. 32cm    

    Correct Answer
    A. B.  24cm  
    Explanation
    The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. In this case, the circumference is given as 44cm. By rearranging the formula, we can solve for the diameter: d = C/π. Plugging in the given circumference of 44cm, we get d = 44/π. Using an approximation of π as 3.14, we can calculate the diameter to be approximately 14.01cm. Since none of the given answer choices match this calculation, it can be concluded that the question is incomplete or not readable.

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  • 43. 

    1. An article is sold for ₦315.00 and the profit is ₦65.00.find the percentage profit.         

    •    A. 16          

    • B.  30   

    • C. 24         

    •   D.   26    

    • E.   126

    Correct Answer
    A.   D.   26    
    Explanation
    The percentage profit can be calculated by dividing the profit by the cost price and then multiplying by 100. In this case, the profit is ₦65.00 and the cost price is ₦315.00. Therefore, the percentage profit is (65/315) * 100 = 20.63%. Rounding to the nearest whole number, the percentage profit is 26%.

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  • 44. 

    The sum of the interior angles of a regular polygon is 14400. Find the number of its sides.

    • A. 13

    • B. 10

    • C. 15

    • D. 21

    • E. 14

    Correct Answer
    A. D. 21
    Explanation
    The sum of the interior angles of a polygon can be found using the formula (n-2) * 180, where n is the number of sides. In this case, we have (n-2) * 180 = 14400. Simplifying this equation, we get n-2 = 80. Solving for n, we find that the number of sides is 82. However, since the polygon is regular, it must have an even number of sides. Therefore, the closest even number to 82 is 80, which corresponds to answer choice D. 21.

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  • 45. 

    1. If the bearing of A from B is 1350, what is the bearing of B from A? 

    • A. 350      

    • B. 150   

    • C. 305  

    • D.   3150  

    • E. 1150  

    Correct Answer
    A. B. 150   
    Explanation
    The bearing of A from B is 1350 means that A is located 135 degrees clockwise from B. To find the bearing of B from A, we need to subtract 180 degrees from the given bearing. Therefore, the bearing of B from A is 1350 - 180 = 150 degrees.

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  • 46. 

    1. The perimeter of a square is 16cm. Find the area of the square.

    • A. 26cm2  

    • B.   16cm2  

    • C. 106cm2  

    • D. 160cm2

    Correct Answer
    A. D. 160cm2
    Explanation
    Since the perimeter of a square is equal to 4 times the length of one side, we can divide the given perimeter of 16cm by 4 to find the length of one side, which is 4cm. To find the area of a square, we square the length of one side. Therefore, the area of the square is 4cm * 4cm = 16cm2. Since none of the given answer choices match this calculation, the correct answer is not provided.

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  • 47. 

    1. Given that y = 3x + 13, find the value of x in 2x + 3y = 17.                  

    • A.    – 2    

    • B. -4   

    • C. 4    

    • D. 7     

    • E. 12       

    Correct Answer
    A. C. 4    
    Explanation
    To find the value of x in the equation 2x + 3y = 17, we can substitute the value of y from the first equation (y = 3x + 13) into the second equation. This gives us 2x + 3(3x + 13) = 17. Simplifying this equation, we get 2x + 9x + 39 = 17. Combining like terms, we have 11x + 39 = 17. Subtracting 39 from both sides, we get 11x = -22. Dividing both sides by 11, we find that x = -2. Therefore, the correct answer is C. 4.

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  • 48. 

    1. What is the third angle of a triangle if the other two are (3x – 20)0 and (4x + 10)0?    

    • A. (x – 20)0   

    • B. (3x – 24)0  

    • C. (7x – 20)0    

    • D. (4x – 20)0 

    • E.    (190 – 7x)​​​​​​​

    Correct Answer
    A. D. (4x – 20)0 
    Explanation
    The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation (3x - 20) + (4x + 10) + (third angle) = 180. Simplifying this equation, we get 7x - 10 + (third angle) = 180. Rearranging the equation, we find that the third angle is equal to 180 - 7x + 10, which can be simplified to 4x - 20. Therefore, the correct answer is D. (4x - 20)0.

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  • 49. 

    In a class, a test was graded from P to S, the result of the ten students are given below:             Q, P, R, R, Q, R, S, Q, P, Q.              Which grade did most students get?              

    • A) P

    • B) R

    • C) Q

    • D) S

    • E) w

    • 0

    Correct Answer
    A. B) R
    Explanation
    The grade that most students received in the test is R. This can be determined by counting the number of times each grade appears in the given list of results. In this case, grade R appears 3 times, while grades P, Q, and S appear 2 times each. Therefore, R is the grade that most students received.

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  • Aug 27, 2023
    Quiz Edited by
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  • Sep 24, 2020
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    Emiseducationdis
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