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Mathematics Past Questions

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97 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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97 questions

Question 1 of 20 97 total questions

Question 21

waec 2012

Simplify: \(\frac{54k^2 - 6}{3k + 1}\)

A6(1 - 3k²)

B6(3k² - 1)

C6(3k - 1)

D6(1 - 3k)

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Question 22

waec 2012

Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)

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Question 23

waec 2012

If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged

A5%

B7\(\frac{1}{2}\)%

C8%

D10%

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Question 24

waec 2012

Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?

A25m/s

B150m/s

C250m/s

D500m/s

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Question 25

waec 2012

The n^th term of a sequence is T_n = 5 + (n - 1)². Evaluate T₄ - T₆

A30

B16

C-16

D-30

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Question 26

waec 2012

Convert 35₁₀ to number in base 2

A1011

B10011

C100011

D11001

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Question 27

waec 2012

In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y

A50:11

B15:17

C13:55

D12:11

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Question 28

waec 2012

Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)

A\(\sqrt{2}\)

B\(\sqrt{5}\)

C2\(\sqrt{2}\)

D2\(\sqrt{5}\)

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Question 29

waec 2012

Express 302.10495 correct to five significant figures

A302.10

B302.11

C302.105

D302.1049

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Question 30

jamb 2012

Find \(\frac{\mathrm d y}{\mathrm d x}\) if \(y = \cos x\).

A\(\sin x\)

B\(- \sin x\)

C\(\tan x\)

D\(- \tan x\)

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Question 31

jamb 2012

A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

A52 cm

B43 cm

C40 cm

D15 cm

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Question 32

jamb 2012

A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

A30\(\pi\) cm\(^2\)

B60\(\pi\) cm\(^2\)

C120\(\pi\) cm\(^2\)

D150\(\pi\) cm\(^2\)

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Question 33

jamb 2012

The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?

A10%

B20%

C50%

D60%

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Question 34

jamb 2012

The grades of 36 students in a class test are as shown in the pie chart above. How many students have excellent?

A12

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Question 35

jamb 2012

Find the area of the trapezium above.

A91 cm²

B78 cm²

C60 cm²

D19 cm²

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Question 36

jamb 2012

In the diagram above, PQR is a circle centre O. If < QPR is x°, find < QRP.

Ax°

B(90 – x)°

C(90 + x)°

D(180 – x)°

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Question 37

jamb 2012

In diagram above, QR//TU, < PQR = 80° and < PSU = 95°. Calculate < SUT.

A15^o

B25^o

C30^o

D80^o

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Question 38

jamb 2012

The shaded region above is represented by
the equation

Ay ≤ 4x + 2

By ≥ 4x + 2

Cy ≤ -4x + 4

Dy ≤ 4x + 4

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Question 39

jamb 2012

The probabilities that a man and his wife live for 80 years are \(\frac{2}{3}\) and \(\frac{3}{5}\) respectively. Find the probability that at least one of them will live up to 80 years

A\(\frac{2}{15}\)

B\(\frac{3}{15}\)

C\(\frac{7}{15}\)

D\(\frac{13}{15}\)

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Question 40

jamb 2012

The probability that a student passes a physics test is \(\frac{2}{3}\). If he takes three physics tests, what is the probability that he passes two of the tests?

A\(\frac{2}{27}\)

B\(\frac{3}{27}\)

C\(\frac{4}{27}\)

D\(\frac{5}{3}\)

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