Mathematics — 2010

Which of the following sets is well defined?

If set B is a subset of set A , then

The least common multiple (L.C.M) of 16, 30 and 36 is

The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x .

The numbers 32, 33, 34, ..., ..., 42 form a sequence in base 5. Find the missing numbers.

Write down all the integers in the set A = {-10, -4, 0, 1 4 , 2 1 4 , 45, 100}

Find the total cost of 25 pens and 75 books if each pen costs GH₵ 0.20 and each book costs GH₵ 0.30.

Simplify: -27 + 18 - (10 - 14) - (-2)

Arrange the following numbers from the lowest to the highest : 0.5, 3, -5, 0.

Find how many pieces of cloth 5 1 2 m long that can be cut from a roll of cloth 121 m long.

Find the value of 124.3 + 0.275 + 74.06, correcting your answer to one decimal place.

Esi and Kwasi are 12 and 8 years old respectively. They share 60 mangoes in the ratio of their ages. How many mangoes does Esi get?

It takes 6 students 1 hour to sweep their school compound. How long will it take 15 students to sweep the same compound?

A housing agent makes a commission of GH₵ 103,500 when he sells a house for GH₵ 690,000. Calculate the percentage of his commission.

A simple interest of GH₵ 37,500.00 is earned on an amount of GH₵ 500,000.00 for 3 years. Calculate the percentage rate.

Simplify: (8 x 2 y 3 )( 3 8 x y 4 )

The scores of 10 students in an examination are given as follows: 45, 12, 75, 81, 54, 51, 24, 67, 19 and 39. What is the median of the scores?

The pie chart is to be drawn from the data in the following table:

Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?

Find the value of x , if x 4 + 1 = 5.

Factorize: xy + 5 x + 2 y + 10.

If x ∈ {2, 3, 4, 5}, find the truth set of 2 x + 1 < 8

Solve the inequality: 7 x - (10 x + 3) ≥ -9

Find the rule of the mapping:

Find the circumference of a circle whose area is equal to 64 π cm 2 .

Which of the following geometric figures is the plane shape of a cube?

How many lines of symmetry has a rectangle?

A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of size 2 cm that will fit into the box.

The interior angle of a regular polygon is 120 o . How many sides has the polygon?

XYZ is a right-angled triangle with length of sides as shown.

Express 7 min. 30 sec. as a percentage of 1 hour.

The point (4, 5) is translated to the point (3, 1). What is the translation vector?

In the diagram below, triangle QRT is the enlargement of QST .

Express 4037 in standard form.

Which of the following angles can be constructed by using the arcs at point C in the diagram below?

Given that vector a = ( -5 12 ) and b = ( 10x 12 )

Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.