BUK Mathematics 2015/2016 Past Questions

Practice each question, then open it to see the full details.

Factorize 3a² - 11a + 6

A. (3a-2)(a-3)
B. (2a-2)(a-3)
C. (3a-2)(a+3)
D. (3a+2)(a-3)
E. (2a-3)(a+2)

In a bag of oranges, the ratio of the good ones to the bad ones is 5:4 If the number of bad oranges in the bag is 36, how many oranges are there all together?

A. 81
B. 72
C. 54
D. 45
E. 49

Solve the equation 3a + 10 = a²

A. a=5 or a=2
B. a=-5 or a=2
C. a=10 or a=0
D. a=5 or a=-2
E. a=-5 or a=-2

Evaluate 3.0 × 10¹ - 2.8 × 10^-1, leaving the answer in standard form

A. 2 × 10^-1
B. 2 × 10²
C. 2.972 × 10¹
D. 2.72 × 10²
E. 2.97 × 10³

Evaluate 1⁄2 + 2⁄4 + 1 3⁄5

A. 15/16
B. 11/16
C. 49⁄50
D. 3 1⁄5
E. 31⁄2

A piece of cloth was measured as 6.10m. If the actual length of the cloth is 6.35m, find the percentage error correct to 2 decimal places

A. 30.05%
B. 3.94%
C. 15.00%
D. 25.00%
E. 39.30%

P and q are two positive numbers such that P>2Q. Which of the following statement is not true

A. -P < 2Q
B. -P > -2Q
C. -Q < 2P
D. Q < 1⁄2p
E. P² < 2Q²

A trader makes a loss of 15% when selling an article. Find the ratio, selling price : cost price

A. 3:20
B. 17:20
C. 3:17
D. 20:23

Make S the subject of the formula V = k⁄√(T-S)

A. S = T (-k²)/(v²)
B. S = (k²)/(v²)-T
C. S = T (-v²)/(k²)
D. S = (T(v²-k²)/(v²)
E. S = T+(k²)/(v²)

In a class of 80 students, every student studies Economics or Geography or both. If 65 students study economics and 50 study Geography, how many study both subjects

A. 15
B. 30
C. 35
D. 43
E. 55

The side of a square is increased from 20cm to 21cm calculate the percentage increase in this area

A. 2.5%
B. 9.5%
C. 10.0%
D. 10.25%

If 2x² + kx -14 = (x+2)(2x-7), find the value of k

A. -3
B. 5
C. 9
D. 11
E. 12

Find the equation whose roots are -2/3 and -1/4

A. 12x² + 11x + 2 = 0
B. 12x² - 11x + 2 = 0
C. x² - 11/12x + 2 = 0
D. x² + 11/12x -2 = 0
E. 12x² - 11x - 2 = 0

Evaluate (20₃)² - (11₃) in base three

A. 101
B. 121
C. 202
D. 2020

Find (x-y) if 4x - 3y = 7 and 3x - 2y = 5

A. 4
B. 3
C. 2
D. -2
E. -3

Solve the inequality (y-3) < y/3

A. y > -9
B. y < 3
C. y > 4
D. y < 9

Given that (6x-y)/(x+2y) = 2, find the value of x/y

A. 3/8
B. 5/8
C. 4/5
D. 5/4
E. 8/5

Which of the following numbers is a perfect cube

A. 350
B. 504
C. 950
D. 1728

If the probability that an event will occur is p and the probability that it will not occur is q, which of the following is true

A. p - q = 1
B. q - p = 0
C. p + q = 1
D. p + q = 0
E. p - q = 0

If 104_x = 68, find the value of x

A. 5
B. 7
C. 8
D. 9
E. 1

Find the value of x which satisfies the equation 5 (x-7) = 7-2x

A. x = 6
B. x = 2
C. x = 4
D. x = 14
E. x = 15

The ages of three men are in the ratio 3:4:5 If the difference between the ages of the oldest and the youngest is 18 years, find the sum of the ages of the three men

A. 45 years
B. 72 years
C. 108 years
D. 216 years
E. 100 years

Evaluate log8/log(1/4)

A. -2
B. -3/2
C. 1/2
D. 4
E. 5

Given that the logarithm of a number is 1.8732, find correct to two significant figures the square root of the number

A. 0.29
B. 0.77
C. 0.86
D. 0.93