# Category: Maths

## In the diagram, O is the centre. If PQ//Rs and

In the diagram, O is the centre. If PQ//Rs and A. 40° B. 50° C. 60° D. 80° Correct Answer: Option A A....

## Ada draws the graph of y = x2 – x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving?

Ada draws the graph of y = x2 – x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving? A. x² – x – 3 = 0 B. x² – 3x – 1 = 0 C. x² – 3x – 3 = 0 D. x²...

## Adding 42 to a given positive number gives the same result as squaring the number. Find the number

Adding 42 to a given positive number gives the same result as squaring the number. Find the number A. 14 B. 13 C. 7 D. 6 Correct Answer: Option C C. 7 Explanation Let the given positive number be x Then 4 + x = x² 0 = x² –...

## Find the equation whose roots are 3/4 and -4

Find the equation whose roots are 3/4 and -4 A. 4x² – 13x + 12 = 0 B. 4x² – 13x – 12 = 0 C. 4x² + 13x – 12 = 0 D. 4x² + 13x + 12 = 0 Correct Answer: Option C C. 4x² + 13x – 12 = 0 Explanation Let x...

## Factorize completely: 6ax – 12by – 9ay + 8bx

Factorize completely: 6ax – 12by – 9ay + 8bx A. (2a – 3b)(4x + 3y) B. (3a + 4b)(2x – 3y) C. (3a – 4b)(2x + 3y) D. (2a + 3b)(4x -3y) Correct Answer: Option B B. (3a + 4b)(2x – 3y) Explanation...

## Given that logx 64 = 3, evaluate x log8

Given that logx 64 = 3, evaluate x log8 A. 6 B. 9 C. 12 D. 24 Correct Answer: Option C Explanation If logx 64 = 3, then 64 = x³ 4³ = x³ Since the indices are equal, x = 4 Hence, x log28 = log28x = log284 = log2(2³)4 = log2212 =...

## Find the 7th term of the sequence: 2, 5, 10, 17, 6,…

Find the 7th term of the sequence: 2, 5, 10, 17, 6,… A. 37 B. 48 C. 50 D. 63 Correct Answer: Option C C. 50

## A trader bought an engine for \$15,000.00 outside Nigeria. If the exchange rate is \$0.070 to N1.00, how much did the engine cost in Niara?

A trader bought an engine for \$15,000.00 outside Nigeria. If the exchange rate is \$0.070 to N1.00, how much did the engine cost in Niara? A. N250,000.00 B. N200,000.00 C. N150,000.00 D. N100,000.00 Correct Answer: Option B B....

## If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x?

If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x? A. 2 B. 5 C. 15 D. 18 Correct Answer: Option C C....

## From the diagram, which of the following is true?

From the diagram, which of the following is true? A. m + n + p = 180° B. m + n = 180° C. m = p + n D. n = m + p Correct Answer: Option D D. n = m + p Explanation In the diagram, β = p(vertically opposite angles) m + β = n(sum of...

## An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50°, find…

An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50°, find, correct to 2 decimal places, the height of the mast. A. 8.60m B. 7.83m C. 7.51m D. 7.15m Correct...

## In the diagram, MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140o, find, correct to the nearest cm

In the diagram, MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140o, find, correct to the nearest cm, the length of the chord MN. A. 19cm B. 18cm C. 17cm D. 12cm Correct Answer: Option A A. 19cm... 