Core Mathematics Mock 2012

Question 1 of 50

The probability that it will rain tomorrow is 0.35. The probability that it will not rain is

Question 2 of 50

Express 3/8 as a percentage.

Question 3 of 50

Increase GH¢240 by 15%.

Question 4 of 50

Express 0.125 as a fraction in its lowest terms.

Question 5 of 50

Which set of numbers forms a Pythagorean triple?

Question 6 of 50

The perimeter of a square is 36 cm. Its area is

Question 7 of 50

Solve 2x − 3 ≥ 5.

Question 8 of 50

Solve 2x² = 18.

Question 9 of 50

An enlargement with scale factor 2 about the origin maps (4, −1) to

Question 10 of 50

Divide GH¢900 in the ratio 2 : 3 : 4. The largest share is

Question 11 of 50

Find the 10th term of the AP 5, 9, 13, ...

Question 12 of 50

A die is thrown 60 times. How many times would you expect to get a 4?

Question 13 of 50

If f(x) = 2x² − 3, find f(−2).

Question 14 of 50

Two coins are tossed. The probability of getting at least one head is

Question 15 of 50

A trader sold an item for GH¢480 at a loss of 20%. What was the cost price?

Question 16 of 50

Factorise completely 3x² − 12.

Question 17 of 50

Factorise ax + ay − bx − by.

Question 18 of 50

Simplify 3a − 2(a − 4b) + b.

Question 19 of 50

The interior angle of a regular octagon is

Question 20 of 50

A room is 5 m long and 4 m wide. How many 0.5 m × 0.5 m tiles are needed to cover the floor?

Question 21 of 50

Rationalise 6/√2.

Question 22 of 50

Expand (√3 + 1)(√3 − 1).

Question 23 of 50

Add 101₂ and 111₂.

Question 24 of 50

Solve the equation 3^(x + 1) = 81.

Question 25 of 50

The image of (2, 5) under a rotation of 180° about the origin is

Question 26 of 50

The image of (3, 1) after reflection in the line y = x is

Question 27 of 50

If 6 workers take 10 days to build a wall, how many days will 4 workers take?

Question 28 of 50

A map scale is 1 : 25,000. A distance of 8 cm on the map represents

Question 29 of 50

Find the sum of the first 5 terms of the GP 3, 6, 12, ...

Question 30 of 50

The 3rd term of an AP is 11 and the 7th term is 23. Find the common difference.

Question 31 of 50

Find the curved surface area of a cylinder of radius 7 cm and height 5 cm (π = 22/7).

Question 32 of 50

A cuboid measures 4 cm × 3 cm × 2 cm. Its total surface area is

Question 33 of 50

Relative frequency is

Question 34 of 50

If y ∝ x² and y = 18 when x = 3, find y when x = 4.

Question 35 of 50

The converse of "If it rains, the ground is wet" is

Question 36 of 50

Solve 2^(x+1) = 64.

Question 37 of 50

Evaluate (0.25)^(−1/2).

Question 38 of 50

Find the value of x if log x + log 4 = log 20.

Question 39 of 50

The sum of the first 20 positive integers is

Question 40 of 50

Find the HCF of 84 and 126.

Question 41 of 50

Find the value of 2.5% of GH¢4,800.

Question 42 of 50

Solve 3x − 1 > 2x + 4.

Question 43 of 50

Make r the subject of V = πr²h.

Question 44 of 50

Simplify 27^(2/3) × 16^(−1/4).

Question 45 of 50

Express 1101 (base 2) + 111 (base 2) in base 2.

Question 46 of 50

Evaluate (3.0 × 10⁴) ÷ (6.0 × 10⁻²) in standard form.

Question 47 of 50

Simplify log₁₀ 8 ÷ log₁₀ 2.

Question 48 of 50

Express 0.030303… (03 recurring) as a fraction.

Question 49 of 50

Find the product of 1011₂ and 11₂ in base 2.

Question 50 of 50

If y varies inversely as x² and y = 4 when x = 3, find y when x = 6.