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Past Questions Library

Practice with a curated collection of JAMB, WAEC, NECO, and school exam questions. Filter by subject, year, or exam type.

10,710 questions available
Showing 551–600 of 10710 questions
Junior Certificate Examination Mathematics
Q551. Factorise $12x^2-8x$.
A $4x(3x-2)$
B $2x(6x-4)$
C $6x(2x-1)$
D $12x(x-2/3)$
Junior Certificate Examination Mathematics
Q552. Solve for $x$: $\frac{3}{x+2} = 6$. Correct: (None – intended answer $-1.5$)
A $x = -4$
B $x = -5$
C $x = -1$
D $x = -3$
Junior Certificate Examination Mathematics
Q553. If $a=4$ and $b=5$, evaluate $a^2-2ab-b^2$. Correct: (None – intended answer $-49$)
A $-25$
B $-9$
C $-1$
D $1$
Junior Certificate Examination Mathematics
Q554. Factorise $a^2-2ab-b^2$. Correct: (None – cannot be factored)
A $(a-b)(a-b)$
B $(a-b)(a+b)$
C $(a-b)(a- b)$
D $(a+b)(a-b)$
Junior Certificate Examination Mathematics
Q555. Solve $\frac{2x-3}{x+1} = 4$. Correct: (None – intended answer $3.5$)
A $x = 3$
B $x = 5$
C $x = -2$
D $x = -4$
Junior Certificate Examination Mathematics
Q556. If $x=2$ and $y=-3$, find the value of $\frac{x}{y}$.
A $-\frac{2}{3}$
B $\frac{2}{3}$
C $-\frac{3}{2}$
D $\frac{3}{2}$
Junior Certificate Examination Mathematics
Q557. Factorise $3m + pq + 3p + mp$.
A $(m+3)(p+q)$
B $(m+p)(3+q)$
C $(m+q)(3+p)$
D $(m+p)(3+q)$
Junior Certificate Examination Mathematics
Q558. Solve $\frac{5}{x-2} = \frac{2}{x+3}$. Correct: (None – intended answer $-\frac{19}{3}$)
A $x = -1$
B $x = 1$
C $x = 7$
D $x = -5$
Junior Certificate Examination Mathematics
Q559. Multiply the binary numbers $101_2$ and $11_2$. Correct: (None – intended answer $1111_2$)
A $1111_2$
B $1110_2$
C $1101_2$
D $1100_2$
Junior Certificate Examination Mathematics
Q560. Divide $110110_2$ by $101_2$ and give the quotient in binary.
A $1001_2$
B $1010_2$
C $1100_2$
D $1110_2$
Junior Certificate Examination Mathematics
Q561. In binary subtraction, $11100_2 - 1010_2$ equals which decimal number? Correct: (None – intended answer 18)
A 20
B 22
C 24
D 26
Junior Certificate Examination Mathematics
Q562. What is the result of $10101_2 \times 110_2$?
A $1111110_2$
B $1111101_2$
C $1111111_2$
D $1111000_2$
Junior Certificate Examination Mathematics
Q563. Divide $100111_2$ by $11_2$ and state the remainder.
A $0$
B $1$
C $10_2$
D $11_2$
Junior Certificate Examination Mathematics
Q564. If $1101_2$ is multiplied by $101_2$, what is the binary product? Correct: (None – intended answer $1000001_2$)
A $110001_2$
B $110010_2$
C $110011_2$
D $110100_2$
Junior Certificate Examination Mathematics
Q565. Subtract $1010_2$ from $11111_2$.
A $10101_2$
B $10111_2$
C $10101_2$
D $10111_2$
Junior Certificate Examination Mathematics
Q566. Identify the rational number in the list: $\sqrt{2}$, $\frac{7}{9}$, $\pi$, $\sqrt{3}$.
A $\sqrt{2}$
B $\frac{7}{9}$
C $\pi$
D $\sqrt{3}$
Junior Certificate Examination Mathematics
Q567. Which of the following is a non‑rational number?
A $\frac{5}{3}$
B $0$
C $\sqrt{5}$
D $-4$
Junior Certificate Examination Mathematics
Q568. If $x$ is rational and $y$ is irrational, what type of number is $x + y$?
A Rational
B Irrational
C Integer
D None of the above
Junior Certificate Examination Mathematics
Q569. Which of these fractions is non‑rational?
A $\frac{22}{7}$
B $\frac{3}{5}$
C $\sqrt{2}$
D $\frac{9}{4}$
Junior Certificate Examination Mathematics
Q570. Determine if $-7.5$ is a rational number.
A Yes
B No
C Only if expressed as a fraction
D Only if expressed as a decimal
Junior Certificate Examination Mathematics
Q571. Which of the following represents a non‑rational number?
A $-3$
B $\frac{1}{3}$
C $\sqrt{7}$
D $0.25$
Junior Certificate Examination Mathematics
Q572. If $x$ is rational, what can be said about $x^2$?
A Must be rational
B Must be irrational
C Could be either
D None of the above
Junior Certificate Examination Mathematics
Q573. Which of the following is an irrational number?
A $4$
B $-\frac{5}{6}$
C $\sqrt{10}$
D $0$
Junior Certificate Examination Mathematics
Q574. Subtract $1001_2$ from $11110_2$ in binary.
A 11001
B 10001
C 01101
D 01001
Junior Certificate Examination Mathematics
Q575. Divide $11010_2$ by $101_2$ and give the quotient in binary.
A 111
B 1001
C 110
D 1011
Junior Certificate Examination Mathematics
Q576. Identify which of the following is a rational number.
A $\sqrt{2}$
B $\pi$
C $\frac{7}{3}$
D $e$
Junior Certificate Examination Mathematics
Q577. Which expression represents a non‑rational number?
A $\frac{22}{7}$
B $\sqrt{5}$
C $0.125$
D $-3$
Junior Certificate Examination Mathematics
Q578. The amount of money grows from $500$ to $750$ after 3 years at a simple interest rate. What is the annual interest rate?
A 10%
B 12%
C 15%
D 20%
Junior Certificate Examination Mathematics
Q579. In a direct variation problem, $a$ varies directly with $b$, and $a=15$ when $b=5$. What is $a$ when $b=12$?
A 36
B 45
C 60
D 72
Junior Certificate Examination Mathematics
Q580. In a direct variation problem, $a$ varies directly with $b$, and $a=15$ when $b=5$. What is $a$ when $b=12$?
A 36
B 45
C 60
D 72
Junior Certificate Examination Mathematics
Q581. Simplify the expression $3m + pq + 3p + mp$.
A $3(m+p)+p(q+m)$
B $(3+p)(m+q)$
C $3m + p(q+m)$
D $(3+m)(p+q)$
Junior Certificate Examination Mathematics
Q582. Factorise $a^2-b^2$.
A $(a-b)(a+b)$
B $(a+b)^2$
C $(a-b)^2$
D $a^2 + b^2$
Junior Certificate Examination Mathematics
Q583. Which of the following is the solution of the equation $\frac{2}{x} = 4$?
A $x = 0.5$
B $x = 2$
C $x = 4$
D $x = 8$
Junior Certificate Examination Mathematics
Q584. Which of the following is the solution of the equation $\frac{2}{x} = 4$?
A $x = 0.5$
B $x = 2$
C $x = 4$
D $x = 8$
Junior Certificate Examination Mathematics
Q585. Change the subject of the formula $A = \pi r^2$ to solve for $r$.
A $r = \sqrt{A\pi}$
B $r = \sqrt{\frac{A}{\pi}}$
C $r = \frac{A}{\pi}$
D $r = \pi A$
Junior Certificate Examination Mathematics
Q586. Construct a $45^\circ$ angle using a straightedge and compass. Which step is correct?
A Draw a right angle, then bisect it.
B Draw an equilateral triangle and use one side.
C Draw a circle and mark a point at 45 degrees.
D Draw a square and use one corner.
Junior Certificate Examination Mathematics
Q587. What is the mean of the data set $4, 7, 9, 12, 15$?
A 9
B 9.4
C 10
D 11
Junior Certificate Examination Mathematics
Q588. Calculate the median of $3, 5, 7, 9, 11, 13$.
A 7
B 8
C 9
D 10
Junior Certificate Examination Mathematics
Q589. Calculate the median of $3, 5, 7, 9, 11, 13$.
A 7
B 8
C 9
D 10
Junior Certificate Examination Mathematics
Q590. Which data set has a mode of $4$?
A $2, 4, 4, 5, 6$
B $1, 2, 3, 4, 5$
C $7, 8, 9, 9, 9$
D $3, 3, 3, 4, 4$
Junior Certificate Examination Mathematics
Q591. In a pie chart, if sector A represents $30\%$ of the whole, how many degrees is sector A?
A $90^\circ$
B $120^\circ$
C $150^\circ$
D $180^\circ$
Junior Certificate Examination Mathematics
Q592. In a pie chart, if sector A represents $25\%$ of the whole, how many degrees is sector A?
A $90^\circ$
B $108^\circ$
C $120^\circ$
D $150^\circ$
Junior Certificate Examination Mathematics
Q593. In a pie chart, if sector A represents $25\%$ of the whole, how many degrees is sector A?
A $90^\circ$
B $108^\circ$
C $120^\circ$
D $150^\circ$
Junior Certificate Examination Mathematics
Q594. Solve $5x - 3 = 2x + 9$.
A $x = 4$
B $x = 6$
C $x = 12$
D $x = 18$
Junior Certificate Examination Mathematics
Q595. Solve $5x - 3 = 2x + 9$.
A $x = 4$
B $x = 6$
C $x = 12$
D $x = 18$
Junior Certificate Examination Mathematics
Q596. Factorise $x^2 - 9$.
A $(x-3)(x+3)$
B $(x-9)(x+1)$
C $(x-3)^2$
D $(x+3)^2$
Junior Certificate Examination Mathematics
Q597. What is the range of the data set $8, 12, 15, 18, 22$?
A 10
B 14
C 16
D 18
Junior Certificate Examination Mathematics
Q598. What is the range of the data set $8, 12, 15, 18, 22$?
A 10
B 14
C 16
D 18
Junior Certificate Examination Mathematics
Q599. In a direct variation, if $y = 7x$, what is $y$ when $x = 5$?
A 20
B 25
C 35
D 45
Junior Certificate Examination Mathematics
Q600. In an inverse variation, if $z = \frac{12}{x}$, what is $z$ when $x = 3$?
A 4
B 6
C 8
D 12