1.
The product of 0.017 and 100 is ___
Correct Answer
D. D. 1.7
Explanation
The product of 0.017 and 100 is 1.7.
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 18 is subtracted from the number and the result is -2, it means that the number must be 16. This is because when 18 is subtracted from 16, the result is -2.
3.
Express 20% as a decimal number.
Correct Answer
C. C. 0.2
Explanation
To express a percentage as a decimal, you divide the percentage by 100. In this case, 20 divided by 100 equals 0.2. Therefore, the correct answer is C. 0.2.
4.
The value of the 4 in 26.645 is ___
Correct Answer
B. B. 4 hundredths
Explanation
The value of the 4 in 26.645 is 4 hundredths. In the decimal number system, each digit to the right of the decimal point represents a specific place value. The digit 4 is in the hundredths place, which means it represents 4 out of 100 parts of a whole.
5.
Convert ^{1}/_{3} to decimal fraction and give your answer to 4 decimal places.
Correct Answer
B. B. 0.3333
Explanation
The decimal representation of 1/3 is 0.3333.
6.
Express 0.0001 in standard form.
Correct Answer
D. D. 1 x 10^{-4 }â€‹â€‹â€‹â€‹â€‹â€‹â€‹
Explanation
The standard form of a number is written as a decimal multiplied by a power of 10. In this case, the number 0.0001 can be expressed as 1 x 10-4, where 10 is raised to the power of -4. This means that the decimal point is moved 4 places to the left, resulting in a smaller number. Therefore, the correct answer is D. 1 x 10-4.
7.
The following are polygons EXCEPT ___
Correct Answer
A. A. Circle
Explanation
Polygons are closed figures with straight sides, while a circle is a curved figure. Therefore, a circle is not considered a polygon.
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 the selling price, we need to add the profit to the cost price. The profit is 32% of N3,200.00, which is (32/100) x N3,200.00 = N1,024.00. Therefore, the selling price is N3,200.00 + N1,024.00 = N4,224.00.
9.
How many faces have a cylinder?
Correct Answer
C. C. 3
Explanation
A cylinder has three faces: two circular faces on the top and bottom, and one curved face that wraps around the sides.
10.
The LCM of 5ab^{2} and 3a^{2}b is:
Correct Answer
D. D. 15a^{2}b^{2}_{ }â€‹â€‹â€‹â€‹â€‹â€‹â€‹
Explanation
The LCM (Least Common Multiple) of two numbers or expressions is the smallest multiple that is divisible by both numbers or expressions. In this case, the LCM of 5ab^2 and 3a^2b is 15a^2b^2 because it is the smallest multiple that is divisible by both 5ab^2 and 3a^2b. The factors of 5ab^2 are 5, a, b, and b, while the factors of 3a^2b are 3, a, a, and b. The LCM should include all the factors with their highest powers, resulting in 15a^2b^2.
11.
Evaluate 2p – (p – 2p)
Correct Answer
C. C. 3p
Explanation
To evaluate the expression 2p - (p - 2p), we can simplify it step by step.
First, we simplify the expression inside the parentheses: (p - 2p) = -p.
Next, we substitute this simplified expression back into the original expression: 2p - (-p) = 2p + p = 3p.
Therefore, the correct answer is C. 3p.
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. Prime numbers are numbers that are only divisible by 1 and themselves. In this case, 2 is the first prime number because it is only divisible by 1 and 2. 3 is the second prime number because it is only divisible by 1 and 3. 5 is the third prime number because it is only divisible by 1 and 5. Therefore, the correct answer is D. 2, 3, 5.
13.
Find the product of
(4m – n) and (3m – 2n)
Correct Answer
D. D. 12m^{2 }– 11mn + 2n^{2 }â€‹â€‹â€‹â€‹â€‹â€‹â€‹
Explanation
The given question asks for the product of two binomials: (4m - n) and (3m - 2n). To find the product, we can use the distributive property. Multiplying the first terms of each binomial gives us 4m * 3m = 12m^2. Multiplying the outer terms gives us 4m * -2n = -8mn. Multiplying the inner terms gives us -n * 3m = -3mn. And finally, multiplying the last terms gives us -n * -2n = 2n^2. Combining all these terms, we get 12m^2 - 8mn - 3mn + 2n^2, which simplifies to 12m^2 - 11mn + 2n^2. Therefore, the correct answer is D. 12m^2 - 11mn + 2n^2.
14.
Find the product of the square root of 16 and the square of 9 is
Correct Answer
C. C. 324
Explanation
The square root of 16 is 4, and the square of 9 is 81. Therefore, the product of the square root of 16 and the square of 9 is 4 * 81 = 324.
15.
Evaluate below , given that a = 2, b = -2, c = 1
Correct Answer
D. D. 2
16.
Simplify
Correct Answer
B. B. x^{2}/9Â Â Â Â
Explanation
The expression "Simplify" can be interpreted as finding the simplest form of the given expression. In this case, the simplest form would involve reducing the expression as much as possible. Looking at the given options, option B. x^2/9 is the simplest form because it cannot be further reduced. The other options still have terms that can be simplified or reduced. Therefore, option B is the correct answer.
17.
Factorize x^{2} – 1.
Correct Answer
A. A. (x-1) (x+1)
Explanation
The given expression is a quadratic equation in the form of x^2 - 1. This can be factorized using the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, a is x and b is 1. Therefore, the expression can be factorized as (x + 1)(x - 1), which matches option A.
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 an event occurring is equal to 1 minus the probability of the event not occurring. In this case, the probability of a student passing is 70/100, so the probability of a student failing is 1 - 70/100 = 30/100. Therefore, the correct answer is B. 30/100.
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 the sum of all the numbers divided by the total number of numbers. In this case, the mean is 13. To find the value of x, we need to determine what number, when added to the set, will result in a mean of 13. By adding up the given numbers (12 + 11 + 14 = 37) and subtracting this sum from the total sum needed for a mean of 13 multiplied by the total number of numbers (13 x 4 = 52), we find that x must be 15 (52 - 37 = 15). Therefore, the value of x is 15.
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, a ruler is needed to measure and draw the line. However, a pair of compasses is required to accurately divide the line into two equal parts. The compasses can be adjusted to the desired length and then used to mark two points equidistant from the endpoints of the line. These points will divide the line into two equal halves. Therefore, option C, which includes both a ruler and a pair of compasses, is the correct answer.
21.
The value of 7—(—15) is
Correct Answer
B. B. 22
Explanation
The expression 7 - (-15) can be simplified by applying the rule of subtracting a negative number, which is the same as adding a positive number. So, 7 - (-15) becomes 7 + 15, which equals 22. Therefore, the value of 7 - (-15) is 22.
22.
Round off 3.9695 to 2 decimal places
Correct Answer
B. B. 3.97
Explanation
To round off 3.9695 to 2 decimal places, we look at the third decimal place, which is 9. Since it is greater than or equal to 5, we round up the second decimal place, which is 6. Therefore, the correct answer is B. 3.97.
23.
Which of the following fractions is the smallest fraction : ^{3}/_{4} , ^{5}/_{6} , ^{1}/_{2} , ^{12}/_{15}
Correct Answer
D. D. ½
Explanation
The correct answer is D. 1/2. To determine the smallest fraction, we can compare the numerators and denominators of each fraction. The numerator of 1/2 is the smallest among all the given fractions, while the denominators are all equal to 2. Therefore, 1/2 is the smallest fraction.
24.
Find the highest common factor of 325, 350, and 375
Correct Answer
D. D. 25
Explanation
The highest common factor of 325, 350, and 375 is 25. This can be found by finding the prime factors of each number and identifying the common factors. 325 can be factored into 5 x 5 x 13, 350 can be factored into 2 x 5 x 5 x 7, and 375 can be factored into 3 x 5 x 5 x 5. The highest common factor is the product of the common prime factors, which in this case is 5 x 5 = 25.
25.
Express 6561 in index form.
Correct Answer
B. B. 9^{4}
Explanation
In index form, a number is expressed as a base raised to a power. In this case, 6561 can be expressed as 9 raised to the power of 4. Therefore, the correct answer is B. 94.
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
Ola, Tope, and Jide's shares are in the ratio of 3:4:5 respectively. To find Jide's share, we need to calculate what fraction of the total amount N9,600 corresponds to Jide's share.
The total ratio is 3+4+5 = 12. To find Jide's share, we divide his ratio (5) by the total ratio (12) and multiply it by the total amount (N9,600).
Jide's share = (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. D. One trillion
Explanation
The correct name for one thousand billion is one trillion. In the short scale numerical system, which is commonly used in the United States and most English-speaking countries, one trillion is equal to 1,000,000,000,000. It is formed by adding the prefix "tri-" meaning three, to the base unit "illion" which represents a large, indeterminate number.
28.
30% of N900
Correct Answer
A. A. N270
Explanation
30% of N900 is equal to N270. This can be calculated by multiplying 900 by 0.30, which gives us 270. Therefore, the correct answer is A. N270.
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
Explanation
The selling price can be calculated by adding the profit to the cost price. The profit is calculated as 10% of the cost price, which is 0.10 * N1,500.00 = N150.00. Therefore, the selling price is N1,500.00 + N150.00 = N1,650.00.
30.
Solve the equation 2 ½ = 1/y
Correct Answer
C. C. 2/5
Explanation
The equation can be solved by cross-multiplying. Multiply both sides of the equation by y to get rid of the fraction. This gives us 2 1/2 * y = 1. Simplifying the left side of the equation, we have 5/2 * y = 1. To solve for y, divide both sides of the equation by 5/2. This gives us y = 1 / (5/2) which simplifies to y = 2/5. Therefore, the correct answer is C. 2/5.
31.
What is the value of 96^{2}?
Correct Answer
C. C. 9216
Explanation
The value of 962 is 9216.
32.
If a = 2, put ( >, <, , or =) in the box for the inequality below:
-23 -45
Correct Answer
A. A. >
Explanation
Since a = 2, we can substitute 2 into the inequality: -23 > -45. This is true because -23 is greater than -45. Therefore, the correct answer is A. >.
33.
The number of pupils in a school is 875. If 350 are girls, what percentage of the pupils are boys?
Correct Answer
B. B. 60%
Explanation
If there are 875 pupils in total and 350 are girls, then the remaining number of pupils must be boys. To find the percentage of boys, we can subtract the number of girls from the total number of pupils and divide by the total number of pupils. (875 - 350) / 875 = 525 / 875 = 0.6. Multiplying by 100 to convert to a percentage, we get 60%. Therefore, the percentage of pupils who are boys is 60%.
34.
These numbers are square numbers except
Correct Answer
B. B. 224
Explanation
The numbers given are all square numbers, except for 224. A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 324 is a square number because it can be expressed as 18 multiplied by 18 (18^2 = 324). Similarly, 196 is a square number because it can be expressed as 14 multiplied by 14 (14^2 = 196). 169 is a square number because it can be expressed as 13 multiplied by 13 (13^2 = 169). However, 224 is not a square number because there is no integer that can be multiplied by itself to give 224.
35.
Solve ^{5m}/_{6} = 3 ^{1}/_{3}
Correct Answer
D. D. 4
Explanation
To solve the equation 5m/6 = 3 1/3, we can convert the mixed fraction 3 1/3 to an improper fraction. 3 1/3 is equal to (3 * 3 + 1)/3 = 10/3. Now, we can rewrite the equation as 5m/6 = 10/3. To solve for m, we can cross multiply. 5m * 3 = 6 * 10. Simplifying this gives us 15m = 60. Dividing both sides by 15, we find that m = 4. Therefore, the correct answer is D. 4.
36.
Increase 12 by 30%
Correct Answer
C. C. 15.6
Explanation
To increase 12 by 30%, we can calculate 30% of 12 by multiplying 12 by 0.3. This gives us 3.6. Adding 3.6 to 12, we get the final result of 15.6. Therefore, the correct answer is C. 15.6.
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.
38.
Factorize 24pz – 8pr.
Correct Answer
A. A. 8p (3z –r)
Explanation
The given expression can be factorized by finding the greatest common factor (GCF) of the terms. In this case, the GCF of 24pz and 8pr is 8p. To factorize, we divide each term by the GCF and write the result inside the parentheses. So, the factorized form is 8p(3z - r).
39.
Find the area of triangles of height 5cm, and base 7cm.
^{ }
Correct Answer
A. A. 17.5cm^{2}
Explanation
The formula for finding 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.
40.
A pack of cards has ___ unbiased cards.
Correct Answer
B. B. 52
Explanation
A standard pack of cards contains 52 cards, consisting of 4 suits (hearts, diamonds, clubs, and spades) and 13 ranks (Ace through King) in each suit. Each card is equally likely to be drawn, making the pack of cards unbiased.
41.
Express as a single number:
3.8 x 10^{4 }– 9.7 10^{3}
Correct Answer
A. A. 28300
Explanation
The correct answer is A. 28300. To find the solution, we subtract 9.7 times 10 raised to the power of 3 from 3.8 times 10 raised to the power of 4. This can be simplified to 38,000 - 9,700, which equals 28,300.
42.
If 2x^{0 }and 4x^{0 }are supplementary angles. What is the value of x?
^{ }
Correct Answer
D. D. 30^{0}
Explanation
If 2x0 and 4x0 are supplementary angles, it means that their sum is equal to 180 degrees. Therefore, we can set up the equation 2x0 + 4x0 = 180 and solve for x. Combining like terms, we get 6x0 = 180. Dividing both sides by 6, we find that x0 = 30. Therefore, the value of x is 30 multiplied by 10, which equals 300.
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 total work required to dig the trench is equivalent to 15 men working for 10 days. Therefore, the total work done by these 15 men is 15 * 10 = 150 man-days.
To find out how many men will be required to dig the trench in 2 days, we need to divide the total work required (150 man-days) by the number of days (2).
Therefore, the number of men required is 150 man-days / 2 days = 75 men.
Hence, the correct answer is B. 75 men.
44.
Find the mean score of these scores:
2, 3, 0, 8, 7, 5, 9, 6
Correct Answer
C. C. 5.00
Explanation
The mean score is calculated by adding up all the scores and then dividing the sum by the total number of scores. In this case, the sum of the scores is 2 + 3 + 0 + 8 + 7 + 5 + 9 + 6 = 40. Since there are 8 scores in total, the mean score is 40/8 = 5.00. Therefore, the correct answer is C. 5.00.
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 start counting from the leftmost non-zero digit. In this case, the leftmost non-zero digit is 2. The next two digits after 2 are 3 and 4, which are less than 5. Therefore, we do not round up the 2. The remaining digits after the third significant figure are ignored. Therefore, the rounded off number is 23 trillion and 500 billion.
46.
Simplify -4 x -2 x -3
-2 x 6
Correct Answer
D. D. 2
Explanation
The expression -4 x -2 x -3 simplifies to -24. The expression -2 x 6 simplifies to -12. Therefore, the correct answer is D. 2, as -24 divided by -12 equals 2.
47.
Factorize 81 + 18a + a^{2}
Correct Answer
B. B. (a+9) (a+9)
Explanation
The given expression is a quadratic trinomial. To factorize it, we can look for two binomials that when multiplied together, give us the original expression. In this case, we can see that the expression can be written as (a+9)(a+9), which is equivalent to (a+9)^2. Therefore, the correct answer is B. (a+9) (a+9).
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. In this set, the number 7 appears three times, which makes it the mode. The median is the middle value when the numbers are arranged in ascending order. If we arrange the numbers in ascending order, we get 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 9. The middle value is 6, so the median is 6. The difference between the median and the mode is 6 - 7 = -1. Therefore, the correct answer is D. 1.
49.
Find the unknown angle in the figure below
Correct Answer
D. D. 48^{0}
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. Therefore, the correct answer is D. x + y/60.