Question 1

Find the simple interest on N225 in 5 years at 10%.

Accepted Answer

C. C. N112.50

Answer

A. A. N108.00

Answer

B. B. N224.00

Answer

D. D. N167.60

Question 2

Find the range of 2,6,8,10,12,25,3,4 and 32.

Accepted Answer

B. B. 30

Answer

A. A. 27

Answer

C. C. 22

Answer

D. D. 24

Question 3

A binary operation on the set of real numbers is defined by x * y = (x+y)/z for all x,y ∈ R. Find 7*5.

Accepted Answer

D. D. 6

Answer

A. A. 8

Answer

B. B. 9

Answer

C. C. 5

Question 4

If the midpoint of (2,x) and (y,2) has respective values of x and y as

Accepted Answer

A. A. 2, 6

Answer

B. B. 3, 6

Answer

C. C. 4, 3

Answer

D. D. 6, 4

Question 5

The histogram shows the number of participants in a meeting from Monday to Friday. How many participated on Monday, Wednesday and Thursday?

Accepted Answer

B. B. 50

Answer

A. A. 55

Answer

C. C. 65

Answer

D. D. 45

Question 6

y is inversely proportional to x and y=6 when x=7. Find the constant of the variation.

Accepted Answer

D. D. 42

Answer

A. A. 48

Answer

B. B. 47

Answer

C. C. 54

Question 7

Convert 553 (base 7) to a number in base 10.

Accepted Answer

C. C. 298

Answer

A. A. 283

Answer

B. B. 271

Answer

D. D. 292

Question 8

If y varies directly as x, find the constant of the variation when y=12 and x=4.

Accepted Answer

D. D. 3

Answer

A. A. 8

Answer

B. B. 6

Answer

C. C. 5

Question 9

From the diagram, MNRS is a cyclic quadrilateral with angle 100° marked; find the value of x.

Accepted Answer

D. D. 80°

Answer

A. A. 90°

Answer

B. B. 110°

Answer

C. C. 100°

Question 10

Given: M={1,2,3,4,5}, N={1,2,4,5,3}, Z={2,1,4,5}. Which of the following is accurate?

Accepted Answer

A. A. N ⊆ M

Answer

B. B. N ⊂ M

Answer

C. C. Z ⊆ M

Answer

D. D. N ⊂ Z

Question 11

Find the number of sides of a regular polygon if the size of each interior angle is 150°.

Accepted Answer

B. B. 12

Answer

A. A. 9

Answer

C. C. 10

Answer

D. D. 14

Question 12

Given that θ is an acute angle and tanθ = 12/5, find sinθ.

Accepted Answer

A. A. 12/13

Answer

B. B. 5/12

Answer

C. C. 5/13

Answer

D. D. 5/13

Question 13

Find the sum to infinity of the series 1/4, 1/12, 1/36, ...

Accepted Answer

B. B. 3/8

Answer

A. A. 7/24

Answer

C. C. 1/8

Answer

D. D. 1/3

Question 14

The operation below was carried out in base 2. Find the missing number:  1011 + 1111 = 11010; missing number = ?

Accepted Answer

B. B. 1000

Answer

A. A. 1001

Answer

C. C. 1010

Answer

D. D. 1001

Question 15

A box containing 10 black, 4 green and 6 yellow pens. What is the probability of picking a yellow pen with eyes closed?

Accepted Answer

C. C. 3/10

Answer

A. A. 1/6

Answer

B. B. 7/10

Answer

D. D. 1/2

Question 16

Evaluate 5(1/3) x 7(1/4) / (116/27).

Accepted Answer

C. C. 8

Answer

A. A. 3

Answer

B. B. 9

Answer

D. D. 6

Question 17

If x-3 divides x³-2x²-x+6, find the remainder.

Accepted Answer

C. C. 12

Answer

A. A. 27

Answer

B. B. 9

Answer

D. D. 18

Question 18

The locus of a point moving with equal distance from a fixed point is

Accepted Answer

C. C. a circle

Answer

A. A. a parabola

Answer

B. B. a sphere

Answer

D. D. an ellipse

Question 19

Solve x² - 5x + 6 ≤ 0.

Accepted Answer

D. D. 2 ≤ x ≤ 3

Answer

A. A. -3 ≤ x ≤ 2

Answer

B. B. -2 ≤ x ≤ -1

Answer

C. C. 1 ≤ x ≤ 2

Question 20

Find the area of a parallelogram PQRS with base 16cm long and height 8cm.

Accepted Answer

B. B. 128cm²

Answer

A. A. 126cm²

Answer

C. C. 122cm²

Answer

D. D. 124cm²

Question 21

If U={1,2,3...10} and N={2,4,6,8,10}, find N'.

Accepted Answer

C. C. {1,3,5,7,9}

Answer

A. A. {1,2,3,5,9}

Answer

B. B. {1,3,6,7,9}

Answer

D. D. {1,3,5,7}

Question 22

21, 21, 21, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24, 25, 26, 36, 36, 36. Find the mode of the distribution.

Accepted Answer

A. A. 24

Answer

B. B. 26

Answer

C. C. 36

Answer

D. D. 25

Question 23

Find the determinant of |1 0 1; 1 1 0; 0 1 2|.

Accepted Answer

A. A. 3

Answer

B. B. 6

Answer

C. C. 4

Answer

D. D. 5

Question 24

21,21,21,22,22,22,22,23,23,24,24,24,24,24,25,26,36,36,36. Find the mean of the distribution.

Accepted Answer

C. C. 25

Answer

A. A. 20

Answer

B. B. 23

Answer

D. D. 30

Question 25

From the top of a tree, the angle of depression to a point on the ground 5m away is 60°. Find the height of the tree.

Accepted Answer

A. A. 5√3 m

Answer

B. B. √55 m

Answer

C. C. 4√5 m

Answer

D. D. √60 m

Question 26

Factorize completely: 4u² - 36uv - uv + 9v².

Accepted Answer

C. C. (4u-v)(u-9v)

Answer

A. A. (4u+v)(u+9v)

Answer

B. B. (4u+v)(u-9v)

Answer

D. D. (4u-v)(u+9v)

Question 27

Find the turning points of the function y = x³ - x² - x.

Accepted Answer

D. D. 1, 1/3

Answer

A. A. 1, -1/3

Answer

B. B. -1, 1/-3

Answer

C. C. -1, 1/3

Question 28

If Q=[3 -1 1; -2 1 -1; 1 -3 2], find -3Q.

Accepted Answer

A. A. [-9 3 -3; 6 -3 3; -3 9 -6]

Answer

B. B. [9 -6 3; -6 3 3; 3 -9 -6]

Answer

C. C. [-9 6 3; 3 -9 -6; 9 -6 3]

Answer

D. D. [-6 3 -3; -3 9 -6]

Question 29

Find the number of ways the letters of the word COMMITTEE can be permuted.

Accepted Answer

B. B. 9!/(2!2!2!)

Answer

A. A. 9!

Answer

C. C. 9!/2!2!

Answer

D. D. 9!/2!

Question 30

If P varies inversely as the square of q and p=4 when q=5, find p when q=2.

Accepted Answer

D. D. 25

Answer

A. A. 32

Answer

B. B. 12

Answer

C. C. 16

Question 31

Simplify log4 256 - log4 4 + 2.

Accepted Answer

D. D. 5

Answer

A. A. 4

Answer

B. B. 2

Answer

C. C. 2

Question 32

Express 0.265 in standard form.

Accepted Answer

C. C. 2.65x10⁻¹

Answer

A. A. 2.65x10¹

Answer

B. B. 2.65x10⁻²

Answer

D. D. 2.65x10²

Question 33

A car was put on sale for N12,000. It was sold for a discount of 20%. How much was paid for it?

Accepted Answer

B. B. N9,600

Answer

A. A. N7,200

Answer

C. C. N49,800

Answer

D. D. N6,400

Question 34

Find the value of x for which the function f(x) = 3x² - x - 6 is minimum.

Accepted Answer

B. B. 1/6

Answer

A. A. -1/6

Answer

C. C. -73/12

Answer

D. D. 73/12

Question 35

Determine the distance between points P(3,4) and Q(4,5).

Accepted Answer

C. C. √2

Answer

A. A. 2

Answer

B. B. √5

Answer

D. D. 1

Question 36

Evaluate (5⁻³ x 5⁻⁴)/(5⁻⁶ x 5⁻²).

Accepted Answer

A. A. 5

Answer

B. B. 25

Answer

C. C. -7

Answer

D. D. 48

Question 37

From the diagram, a triangle is inscribed with a circle; find the value of x.

Accepted Answer

A. A. 15°

Answer

B. B. 45°

Answer

C. C. 25°

Answer

D. D. 30°

Question 38

The bar chart is a representation of a candidate's scores in UTME 2014 (Physics 75, Maths 45, Chem 60, Eng 30). Find his total score.

Accepted Answer

A. A. 210

Answer

B. B. 240

Answer

C. C. 340

Answer

D. D. 200

Question 39

A boy moves from a point P to another point Q due north. He then moves an equal distance to another point R due east. What is the bearing of R from P?

Accepted Answer

D. D. 045°

Answer

A. A. 300°

Answer

B. B. 135°

Answer

C. C. 225°

Question 40

Find the common difference of an A.P. whose 4th term is 24 and 11th term is 52.

Accepted Answer

A. A. 4

Answer

B. B. 3

Answer

C. C. 14

Answer

D. D. 12

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