The Venn diagram below shows a class of 40 students studying one or more of three subjects, Mathematics (M), Economics (E) and Geography (G).

Find the value of a.

The Venn diagram below shows a class of 40 students studying one or more of three subjects, Mathematics (M), Economics (E) and Geography (G).

Find the number of students who study only one subject.

Evaluate 11011 _two – 101 _two

Illustrate the truth set of 3x + 2 ≥ 5x – 6 on the number line.

Factorise the expression 9x² t² -1

In the diagram below, P and Q are subsets of the set of real numbers.

Which of the following represent P υ Q?

In the diagram below, P and Q are subsets of the set of real numbers.

What is P ∩ Q’?

Evaluate (2 1/2)² – (1 1/2)²

Express 0.0098 in the standard form.

If 2^m-2 = 32, find the value of m.

Simplify log729/log9

Find the gradient of the line joining the points P(-2, 6) and Q(3, -2).

The marks obtained by 10 candidates in a test are: 8, 6, 2, 2, 4, 8, 9, 4, 9, 3. What is the median mark?

Solve the equation 12 + 6/x = 9

A translation vector T, takes the point (1, 1) to (3, 4). Find the image of the point (-1, 2) under T.

Evaluate (0.42 ÷ 2.5)/(0.5 × 2.05) leaving your answer in standard form.

Find the mean of numbers 23, 25, 21 and 31.

If p =  kq and r = mk/eq, express r in terms of m, p, e and q.

Evaluate 1341five – 242 five

Simplify (√6 + 1)/√6

Find the values of x for which the expression x² – 9/(x² -3x + 2) is not defined.

If 2(kx + 6) = 6 + 8x, find the value of k when x = 3.

Express 2 – 3log₁₀ 2 as the logarithm of single number.

Solve the equation x² – 121 = 0

Simplify (√3 – 1)(1 + √3)

The point P(-5, 1) is rotated about the origin through 180°. Find the coordinates of its image.

Given that a/b = c/d, find an expression for a/(a + b).

The radius of a circle is 4 times that of another, what is the relationship between their areas?

The minute hand of a clock moved from 12 to 4. If the length of the minute hand is 3.5 cm, find the area covered by the minute hand. (Take π = 22/7)

Given that x – 4 < 4 and x – 4 > -4 which of the following is true?

A tin of rice is consumed by n boys in 8 days. When three more boys joined them, the rice lasts only 6 days. Find n, if the rate of consumption is uniform.

If 3x² : 8 = 24 : 16, find the value of x given that x> 0.

A dealer made a profit of 22.5% by selling a car for 5.88 million cedis. Find the percentage profit he would have realized if he had sold it for 6.12 million cedis.

The mean mark of a group of 10 boys is 58. If the mean mark of 7 of them is 61, what is the mean mark of the remaining 3 boys?

Find the point where the lines y + 2x = 3 and 3y – 4x = 4 intersect.

A man borrowed ¢1600.00 and paid back ¢1660.00 at the end of 12 months. What annual rate of interest was charged?

A water tank is a cube of side 2 m. The depth of water in it is 60 cm. What is the volume of water in the tank?

If x and y are variables and k is a constant, which of the following relations suggests an inverse relationship between x and y?

The point P (2, 1) is reflected in the line x 3. Find the coordinates of its image.

Two ball bearings have volumes of 1.6 cm³ and 5.4 cm³. Find the ratio of their surface areas.

A grocer sold 45% of his stock of sugar and the quantity that he sold was 96 kg less than the quantity left. How much sugar did he sell?

The graph shows a relation between x and y for-3 ≤ x ≤ 2.5

What is the maximum value of y in the range -3 ≤ x ≤ 2.5

The graph shows a relation between x and y for-3 ≤ x ≤ 2.5

For what values of x is y decreasing?

In a race, 3 students competed from the Green House, 2 from the Red House, 4 from the White House and 1 from the Yellow House. What is the probability that a student from the White House will come first, if there is no tie?

Find the volume of cylindrical drum of diameter 28 cm and height 50 cm. (Take π = 22/7)

Evaluate

The table below shows the distribution of marks obtained by twenty pupils in a test.

What is the modal mark of the distribution?

The table below shows the distribution of marks obtained by twenty pupils in a test.

Find the median mark.

The table below shows the distribution of marks obtained by twenty pupils in a test.

Find the mean mark for the distribution.