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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 551

waec 2015

The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take $\pi = \frac{22}{7}$]

A14cm

B7m

C3$\frac{1}{2}$m

D1$\frac{3}{4}$m

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Question 552

waec 2015

The volume of a cone of height 3cm is 38$\frac{1}{2}$cm³. Find the radius of its base. [Take $\pi = \frac{22}{7}$]

A3.0cm

B3.5cm

C4.0cm

D4.5cm

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Question 553

waec 2015

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

Ax² - x - 3 = 0

Bx² - 3x - 1 = 0

Cx² - 3x - 3 = 0

Dx² + 3x - 1 = 0

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Question 554

waec 2015

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

A14

B13

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Question 555

waec 2015

If m = 4, n = 9 and r = 16., evaluate $\frac{m}{n}$ - 1$\frac{7}{9}$ + $\frac{n}{r}$

A1$\frac{5}{16}$

B1$\frac{1}{16}$

C$\frac{5}{16}$

D- $\frac{37}{48}$

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Question 556

waec 2015

Find the equation whose roots are $\frac{3}{4}$ and -4

A4x² - 13x + 12 = 0

B4x² - 13x - 12 = 0

C4x² + 13x - 12 = 0

D4x² + 13x + 12 = 0

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Question 557

waec 2015

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)

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Question 558

waec 2015

If 2ⁿ = y, Find 2$^{(2 + \frac{n}{3})}$

A4y$^\frac{1}{3}$

B4y$^-3$

C2y$^\frac{1}{3}$

D2y$^-3$

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Question 559

waec 2015

Given that logx 64 = 3, evaluate x log$_2$8

C12

D24

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Question 560

waec 2015

Find the 7th term of the sequence: 2, 5, 10, 17, 26,...

A37

B48

C50

D63

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Question 561

waec 2015

If $\frac{27^x \times 3^{1 - x}}{9^{2x}} = 1$, find the value of x.

B$\frac{1}{2}$

C-$\frac{1}{2}$

D-1

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Question 562

waec 2015

A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to N1.00, how much did the engine cost in Naira?

AN250,000.00

BN200,000.00

CN150,000.00

DN100,000.00

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Question 563

waec 2015

The sum 11011$_2$, 11111$_2$ and 10000$_2$ is 10m10n0$_2$. Find the value of m and n.

Am = 0, n = 0

Bm = 1, n = 0

Cm = 0, n = 1

Dm = 1, n = 1

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Question 564

waec 2015

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

C15

D18

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Question 565

jamb 2015

Given that tan x = $\frac{2}{3}$, where 0^o d" x d" 90^o, Find the value of 2sinx.

A$\frac{2\sqrt{13}}{13}$

B$\frac{3\sqrt{13}}{13}$

C$\frac{4\sqrt{13}}{13}$

D$\frac{6\sqrt{13}}{13}$

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Question 566

jamb 2015

Factorize $ a^2 − b^2 − 4a + 4 $

A(a + b)(a − b)

B(a − 2 + b)(a - 2- b)

C(a + 1)(a − 2 + b)

D(a + b) 2

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Question 567

jamb 2015

Rationalize 5 ÷ (2 − √3)

A3(2 + √5)

B2(3 + √5)

C5(2 + √3)

D3 √2 + 1

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Question 568

jamb 2015

A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?

A3%

B2%

C4%

D1%

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Question 569

jamb 2015

Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)

A7.51

B7.71

C5.5

D7.55

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Question 570

jamb 2015

If duty is levied at 25%, find the duty to be added to a bill of N80.

AN100

BN20

CN80

DN150

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