Mathematics — 2006

If Q = {1, 3, 5, 7, 9, 11, 13, 15} and R = {1, 2, 3, 5, 6, 7, 10, 11, 12}, find Q ∩ R

If x is an integer, list the members of the set, {2 ≤ x < 10}.

Simplify 4 3 x - 2 9 x

The number of boys in a school is 120. If the ratio of boys to girls is 5 : 7, find the total number of students in the school.

Find the circumference of a circle with radius 3.5 cm.

Which of the following are the prime factors of 12?

The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?

Correct 0.003858 to three significant figures

Find the value of a – 3 ab when a = -2 and b = 3

A boy sold some oranges at three for ₵500.00. If his total sales was ₵100,000.00, how many oranges did he sell?

A train travels at a speed of 80km per hour. How long will it take to travel a distance of 320km?

Which of the following figures is a rhombus?

Three children share an amount of ₵910,800.00 in the ratio 2 : 3 : 4. What will be the highest share?

The next term in the sequence 3, 6, 12, 24, ...

Express 350 as a product of prime factors

Express 962 in standard form.

Solve the equation x + 2 3 + 2 x = 10.

Arrange the fractions 3 4 , 2 3 , 4 5 in ascending order of magnitude.

Express 87 ten as a base five numeral.

A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?

Evaluate 2 3 x 3 4 x 3 3 2 2 x 2 x 3 5

The table below gives the ages of members of a juvenile club.

The table below gives the ages of members of a juvenile club.

In an examination, 154 out of 175 candidates passed. What percentage failed?

Expand (6 – x )(6 + y )

Find the highest common factor (HCF) of 20, 12 and 28.

If F = 9 5 C + 32, find F when C = 40.

Evaluate 2 3 (27 - 12) - 6.

Factorize 22 ab – 11 ac + 6 rb – 3 rc .

Find the sum of 124.3, 0.275 and 74.06. (Correct your answer to one decimal place)

Simplify 6 p 3 × p 2 ÷ 3 p 4

Mr. Nkrumah saved ₵75,000.00 at a simple interest rate of 20% per annum for 3 years. Calculate the interest he earned on his savings

Find the rule for the mapping:

What is the value of the digit 9 in the number 624.93 ?

The marks obtained by 5 girls in a test are: 10, 15, 8, 18, 12.

The point P (3, 4) is translated by the vector ( 3 -2 ) to a new position P ' . Find the coordinates of the image P '

Given that vector a = ( -2 3 ) and vector b = ( 2 -5 ) , find a + 2 b .