1.
Which one do you like?
- The product of 0.017 and 100 is ___
Correct Answer
D. D. 1.7
Explanation
The correct answer is D. 1.7 because when you multiply 0.017 by 100, you move the decimal point two places to the right. This gives you 1.7.
2.
2. John thinks of a number. 18 is subtracted from the number, the result gives – 2. What is the number?
Correct Answer
B. B. 16
Explanation
If we let the number that John thinks of be x, then we can write the equation x - 18 = -2. Solving this equation, we add 18 to both sides to isolate x, giving us x = 16. Therefore, the number that John thinks of is 16.
3.
3. Express 20% as a decimal number.
Correct Answer
C. C. 0.2
Explanation
C. 0.2. To express 20% as a decimal number, you can divide 20 by 100, which equals 0.2. The percent sign (%) means "per hundred," so to convert a percentage to a decimal, you divide the percentage by 100. Therefore, 20% is equivalent to 0.2 in decimal form.
4.
4. The value of the 4 in 26.645 is ___
Correct Answer
B. B. 4 hundredths
Explanation
In the number 26.645, the digit 4 is located in the hundredths place. This means that it represents a value that is one-hundredth of the whole number. Therefore, the correct answer is B. 4 hundredths.
5.
5. Convert 1/3 to decimal fraction and give your answer to 4 decimal places.
Correct Answer
B. B. 0.3333
Explanation
To convert 1/3 to a decimal fraction, we divide 1 by 3. The result is 0.3333, which is a recurring decimal that goes on indefinitely. Since the question asks for the answer to 4 decimal places, we round the recurring decimal to 0.3333.
6.
6. Express 0.0001 in standard form.
Correct Answer
D. D. 1 x 10^{-4}
Explanation
The correct answer is D. 1 x 10-4. In standard form, a number is expressed as a decimal between 1 and 10 multiplied by a power of 10. In this case, 0.0001 can be written as 1 x 10-4, where the decimal is moved 4 places to the right to get a value between 1 and 10.
7.
7. The following are polygons EXCEPT ___
Correct Answer
A. A. Circle 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. Quadrilaterals, hexagons, and heptagons all have straight sides and are therefore polygons.
8.
8. Mr. Ojo made a profit of 32% on an article he bought for N3,200.00. How much did he sell the article?
Correct Answer
D. D. N4,224.00
Explanation
Mr. Ojo made a profit of 32% on an article he bought for N3,200.00. To find out how much he sold the article for, we need to calculate 32% of N3,200.00 and add it to the original cost price. 32% of N3,200.00 is N1,024.00. Adding this to the original cost price, we get N3,200.00 + N1,024.00 = N4,224.00. Therefore, Mr. Ojo sold the article for N4,224.00.
9.
9. How many faces have a cylinder?
Correct Answer
B. B. 2
Explanation
A cylinder has two faces. The two faces are the circular bases of the cylinder. These bases are congruent and parallel to each other.
10.
10. The LCM of 5ab^{2} and 3a^{2}b is:
_{
}
Correct Answer
E. D. 15a^{2}b^{2}
Explanation
The LCM (Least Common Multiple) is the smallest multiple that both numbers have in common. To find the LCM of 5ab2 and 3a2b, we need to find the highest power of each variable that appears in either expression. In this case, the highest power of "a" is 2 and the highest power of "b" is 2. The LCM will then be the product of these highest powers, along with any remaining factors. Therefore, the LCM is 15a2b2.
11.
11. Evaluate 2p – (p – 2p)
Correct Answer
C. C. 3p
Explanation
The expression 2p - (p - 2p) simplifies to 2p - p + 2p. Simplifying further, we get 3p. Therefore, the correct answer is C. 3p.
12.
12. The first three prime numbers are:
Correct Answer
D. D. 2, 3, 5
Explanation
The first three prime numbers are 2, 3, and 5. A prime number is a number greater than 1 that is only divisible by 1 and itself. Among the given options, only option D contains the numbers 2, 3, and 5, which are the first three prime numbers. Option A includes the number 1, which is not a prime number as it is divisible by 1 and itself. Option B includes the numbers 1 and 5, and option C includes the numbers 3, 5, and 7, but none of them contain the correct sequence of the first three prime numbers. Therefore, the correct answer is D.
13.
If a and b are positive integers such that a^2 - b^2 = 63, which of the following is the value of a + b?
Correct Answer
B. 9
Explanation
The equation a^2 - b^2 = 63 can be factored as:
(a - b)(a + b) = 63
Now, we look for pairs of factors of 63, which are:
1 * 63
3 * 21
7 * 9
We need a pair of factors that makes both a and b positive integers. Let's choose (a - b) = 7 and (a + b) = 9.
To solve for a and b, we add the two equations:
a - b = 7
a + b = 9
Adding these gives:
2a = 16, so a = 8.
Now, substitute a = 8 into the equation a + b = 9:
8 + b = 9, so b = 1.
14.
14. Find the product of the square root of 16 and the square of 9 is
Correct Answer
C. C. 324
Explanation
The product of the square root of 16 and the square of 9 can be calculated as follows: √16 * 9^2 = 4 * 81 = 324. Therefore, the correct answer is C. 324.
15.
15. 15. Evaluate 2a-3b/5c,
given that a = 2, b = -2, c = 1
Correct Answer
D. D. 2
Explanation
The given expression is 2a-3b/5c. Plugging in the values of a, b, and c, we get 2(2)-3(-2)/5(1). Simplifying this expression, we get 4+6/5, which is equal to 10/5. Simplifying further, we get 2. Therefore, the correct answer is D. 2.
16.
16. Simplify ( x/3)^{2}
Correct Answer
B. B. x2/9
Explanation
The expression (x/3)2 can be simplified by squaring both the numerator and the denominator. When we square the numerator x, we get x2, and when we square the denominator 3, we get 9. Therefore, the simplified expression is x2/9.
17.
17. Factorize x^{2} – 1.
Correct Answer
A. A. (x-1) (x+1)
Explanation
The given expression is a quadratic expression in the form of a difference of squares. The expression can be factored by using the formula a^2 - b^2 = (a+b)(a-b). In this case, a = x and b = 1. Plugging these values into the formula, we get (x+1)(x-1). Therefore, the correct answer is A. (x-1) (x+1).
18.
18, The probability of a student passing JSSCE Mathematics is 70/100. What is the probability that the student will fail?
Correct Answer
B. B. 30/100
Explanation
The probability of passing is given as 70/100. Since the sum of the probabilities of all possible outcomes must equal 1, the probability of failing can be calculated by subtracting the probability of passing from 1. Therefore, the probability of failing is 1 - 70/100 = 30/100, which is equivalent to 3/10 or 0.3. Therefore, the correct answer is B. 30/100.
19.
19. If 13 is the mean of the following set of numbers: 12, 11, 14 and x, what is the value of x?
Correct Answer
D. D. 15
Explanation
The mean of a set of numbers is found by adding up all the numbers and dividing by the total number of numbers. In this case, the mean is 13. To find the value of x, we can set up an equation: (12 + 11 + 14 + x) / 4 = 13. Simplifying this equation, we get (37 + x) / 4 = 13. Cross multiplying, we get 37 + x = 52. Subtracting 37 from both sides, we find that x = 15. Therefore, the value of x is 15.
20.
20. In bisecting any line, the following are required.
Correct Answer
C. C. A ruler and a pair of compasses
Explanation
To bisect a line, you need to divide it into two equal halves. This can be done by using a ruler to draw a straight line segment and a pair of compasses to measure and mark equal distances on both sides of the line. By connecting the marked points with the ruler, you can bisect the line accurately. Therefore, option C, which includes a ruler and a pair of compasses, is the correct answer. The other options do not provide the necessary tools for bisecting a line.
21.
21. The value of 7—(—15) is
Correct Answer
B. B. 22
Explanation
The value of 7 - (-15) can be simplified by applying the rule of subtracting a negative number, which is equivalent to adding the positive number. Therefore, 7 - (-15) becomes 7 + 15, which equals 22.
22.
22. Round off 3.9695 to 2 deimal places
Correct Answer
A. A. 3.98
Explanation
The number 3.9695 needs to be rounded off to 2 decimal places. When rounding off to 2 decimal places, we look at the digit in the third decimal place. If it is 5 or greater, we round up the second decimal place. In this case, the digit in the third decimal place is 9, which is greater than 5. Therefore, we round up the second decimal place, resulting in the number 3.98.
23.
23. Which of the following fractions is the smallest fraction: 3/4, 5/6, 1/2and 12/15 ?
Correct Answer
D. D. ½
Explanation
The smallest fraction is the fraction with the smallest numerator and the smallest denominator. In this case, the fraction 1/2 has the smallest numerator (1) and the smallest denominator (2) compared to the other fractions. Therefore, 1/2 is the smallest fraction among the given options.
24.
24. Find the highest common factor of 325, 350, and 375
Correct Answer
D. D. 25
Explanation
The highest common factor (HCF) of three numbers can be found by finding the factors of each number and identifying the highest common factor. In this case, the factors of 325 are 1, 5, 13, 25, 65, and 325. The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, and 350. The factors of 375 are 1, 3, 5, 15, 25, 75, and 375. The highest common factor among these three numbers is 25, which is the correct answer.
25.
25. Express 6561 in index form.
^{ }
Correct Answer
B. B. 9^{4}
Explanation
The correct answer is B. 94. In index form, a number is expressed as a base raised to a power. In this case, 6561 can be expressed as 9^4, which means 9 raised to the power of 4.
26.
26. If N9 600 was shared among three boys Ola, Tope and Jide in the ratio 3 : 4 : 5, respectively, what is Jide’s share?
Correct Answer
B. B. N4, 000
Explanation
The ratio of Jide's share to the total amount is 5/12 (5 parts out of 12 total parts). Therefore, Jide's share can be calculated by multiplying the total amount by the ratio: (5/12) * N9,600 = N4,000. Therefore, Jide's share is N4,000.
27.
What is the correct name for one thousand billion?
Correct Answer
D. One trillion
Explanation
The correct name for one thousand billion is one trillion, or 1,000,000,000,000 (1 followed by 12 zeros). This number is also sometimes referred to as a tera-, as in terabyte (TB) in computing and data storage contexts. The term "trillion" is used in the short scale numbering system, which is commonly used in the United States and other English-speaking countries, as well as in many other parts of the world. However, in some countries, like many in Europe, a different numbering system called the long scale is used, where a thousand billion would be referred to as a "billion".
28.
28. 30% of N900
Correct Answer
A. A. N270
Explanation
30% of N900 is equal to 0.30 * N900 = N270.
29.
29. A trader buys a gallon of palm oil for N1,500.00 and sells it at a profit of 10%. Calculate the selling price
Correct Answer
B. B. N1,650.00
30.
30. Solve the equation 2 ½ = 1/y
Correct Answer
C. C. 2/5
Explanation
To solve the equation 2 ½ = 1/y, we can start by converting the mixed number 2 ½ into an improper fraction. 2 ½ is equal to 5/2. So, the equation becomes 5/2 = 1/y. To solve for y, we can cross multiply. Multiplying both sides by y, we get 5y = 2. Dividing both sides by 5, we find that y = 2/5. Therefore, the correct answer is C. 2/5.
31.
31. What is the value of 96^{2}?
Correct Answer
C. C. 9216
32.
32. If a = 2, put (>, <, , or =) in the box for the inequality below:
-23 -45
Correct Answer
A. A. >
Explanation
When a = 2, the inequality -23 > -45 is true because -23 is greater than -45. Therefore, the correct answer is A. >.
33.
34. These numbers are square numbers except
Correct Answer
B. 224
Explanation
The correct answer is 224. This number is not a square number because it cannot be expressed as the product of an integer multiplied by itself. The other options, 324, 196, and 169, are all square numbers because they can be expressed as the product of an integer multiplied by itself.
34.
35. 5M/6=31/3
Correct Answer
D. D. 4
Explanation
The given equation can be solved by cross-multiplying. Multiplying both sides of the equation by 6, we get 5M = 62. Dividing both sides by 5, we find that M = 12.4. However, none of the answer choices match this value. Therefore, the given equation does not have a solution, and the correct answer is D. 4.
35.
36. Increase 12 by 30%
Correct Answer
C. C. 15.6
Explanation
To increase 12 by 30%, we need to find 30% of 12 and add it to 12. 30% of 12 is 0.3 * 12 = 3.6. Adding 3.6 to 12 gives us 15.6. Therefore, the correct answer is C. 15.6.
36.
37. The point where the x axis crosses the y axis in a graph is called ___
Correct Answer
C. C. origin
Explanation
The point where the x axis crosses the y axis in a graph is called the origin. It is represented by the coordinates (0,0) and is the starting point for measuring distances in both the x and y directions.
37.
38. Factorize 24pz – 8pr.
Correct Answer
A. A. 8p (3z –r)
Explanation
To factorize 24pz - 8pr, we can factor out the greatest common factor, which is 8p. This leaves us with 8p(3z - r). Therefore, the correct answer is A. 8p (3z –r).
38.
39. Find the area of triangles of height 5cm, and base 7cm.
^{ }
Correct Answer
A. A. 17.5cm^{2}
Explanation
The formula to find the area of a triangle is 1/2 * base * height. In this case, the base is 7cm and the height is 5cm. Plugging these values into the formula, we get 1/2 * 7cm * 5cm = 17.5cm2. Therefore, the correct answer is A. 17.5cm2.
39.
40. A pack of cards has ___ unbiased cards.
Correct Answer
B. B. 52
Explanation
A standard pack of cards consists of 52 cards. This includes 4 suits (hearts, diamonds, clubs, and spades) with each suit having 13 cards (Ace, 2-10, Jack, Queen, and King). Therefore, the correct answer is B. 52.
40.
41. Express as a single number:
3.8 x 10^{4 }– 9.7 10^{3}
Correct Answer
A. A. 28300
Explanation
To express the given expression as a single number, we need to subtract 9.7 x 10^3 from 3.8 x 10^4. This can be done by subtracting the coefficients and keeping the base (10) and exponent (4) the same. 3.8 - 9.7 = -5.9, and since both numbers have the same exponent of 10^4, the answer is -5.9 x 10^4. However, the question asks for a positive single number, so we take the absolute value of -5.9 to get 5.9. Therefore, the correct answer is 5.9 x 10^4, which is equivalent to 59000.
41.
42. If 2x^{0 }and 4x^{0 }are supplementary angles. What is the value of x?
^{ }
Correct Answer
D. D. 30^{0 }
Explanation
The question states that 2x0 and 4x0 are supplementary angles. Supplementary angles are two angles that add up to 180 degrees. Therefore, we can set up the equation 2x0 + 4x0 = 180. Simplifying this equation, we get 6x0 = 180. Dividing both sides by 6, we find that x0 = 30. Therefore, the value of x is 300.
42.
43. If 15 men dig a trench for 10 days, how many men will be required to dig the trench in 2 days?
Correct Answer
B. B. 75 men
Explanation
If 15 men can dig a trench in 10 days, it means that the rate at which they dig is 1/10th of the trench per day. In other words, each man digs 1/150th of the trench per day. To complete the trench in 2 days, the total number of men required would be 2 times the number of men required to complete the trench in 1 day. Therefore, 2 * 15 = 30 men would be required to dig the trench in 2 days. Since the options provided do not include 30, the closest option is B. 75 men, which is twice the required number.
43.
44. Find the mean score of these scores:
2, 3, 0, 8, 7, 5, 9, 6
Correct Answer
C. C. 5.00
Explanation
To find the mean score, we need to add up all the scores and then divide by the total number of scores. Adding up the scores gives us 2 + 3 + 0 + 8 + 7 + 5 + 9 + 6 = 40. Since there are 8 scores, we divide 40 by 8 to get the mean score of 5.00. Therefore, the correct answer is C. 5.00.
44.
45. Round off 23 456 713 500 145 to 3 significant figures and write your answer in words
Correct Answer
C. C. Twenty – three trillion and five hundred billion
Explanation
When rounding off to 3 significant figures, we look at the digit in the fourth place. If it is 5 or greater, we round up the preceding digit. In this case, the digit in the fourth place is 5, so we round up the preceding digit. Therefore, the rounded value is 23 456 713 500 150. In words, this is twenty-three trillion and five hundred billion.
45.
46. Simplify -4X-2X-3/-2X6
Correct Answer
B. B. -2
Explanation
To simplify the given expression, we first combine the like terms. The like terms in the expression are -4X and -2X, which can be combined to give -6X. The expression now becomes -6X - 3 / -2X6. Next, we simplify the expression further by dividing -6X by -2X6. The X terms cancel out, leaving us with -6 / -2. Simplifying this further gives us 3. However, since the negative signs in the numerator and denominator cancel out, the final answer is -3. Therefore, the correct answer is B. -2.
46.
47. Factorize 81 + 18a + a^{2}
Correct Answer
B. B. (a+9) (a+9)
Explanation
The given expression can be factorized as (a+9)(a+9). This can be determined by using the formula for factoring a quadratic expression, which states that if the expression can be written in the form ax^2 + bx + c, then it can be factorized as (x+p)(x+q), where p and q are the factors of c that add up to b. In this case, a=1, b=18, and c=81. The factors of 81 that add up to 18 are 9 and 9, so the expression can be factorized as (a+9)(a+9).
47.
48. The difference between the median
and the mode of the following set of numbers: 7, 4, 9, 5, 6, 7, 8, 7, 4,6, 5
is ___
Correct Answer
D. D. 1
Explanation
The mode of a set of numbers is the value that appears most frequently, while the median is the middle value when the numbers are arranged in order. In this set of numbers, the mode is 7, as it appears three times. The median is 6, which is the middle value when the numbers are arranged in order. The difference between 7 and 6 is 1, so the correct answer is D. 1.
48.
49. Find the unknown angle in the figure below
^{ }
Correct Answer
D. D. 48^{0 }
49.
50. The sum of x in minutes and y seconds expressed in minutes is ___
Correct Answer
D. D. x + Y/60
Explanation
The question asks for the sum of x in minutes and y seconds expressed in minutes. To convert y seconds to minutes, we divide y by 60, since there are 60 seconds in a minute. Therefore, the correct answer is x + y/60.
50.
51. Complete the following sentence correctly. Vertically opposite angles ___
Correct Answer
A. A. are equal
Explanation
Vertically opposite angles are formed when two lines intersect. These angles are opposite each other and are located on opposite sides of the intersection. It can be observed that vertically opposite angles are always equal in measure. Therefore, the correct answer is A. are equal.