GBAT April 2026 Mathematics

Seyram has 8 notebooks and 12 exercise books in his bag. What is the probability of picking an exercise book at random from Seyram's bag?

If \(7^3 \div 7^{v-1} = \frac{1}{7}\), find the value of \(v\).

Simplify \(\sqrt{0.49}\).

Expand and simplify \((2m-5)(m+4)\).

Find the Highest Common Factor (H.C.F) of \(2^3 \times 3^2 \times 5^2\) and \(2^2 \times 5^2 \times 7\).

Find the missing numbers in the set below \(\{11, 23, 47, \_, 191, \_\}\).

Find the \(y\)-intercept from the equation of the line \(3y - 9x - 1 = 0\).

On a map, \(\frac{1}{3}\) cm represents 6 km. If two towns Ofankor and Pokuase are 10 cm apart on the map, what is the actual distance between them?

Arrange 0.7, 56%, -2.10, and \(\frac{3}{4}\) in descending order.

The width of a rectangle is 5 cm, and the length 12cm, find the diagonal of the rectangle.

What is the sum of the interior angles of an octagon?

The lengths of two sugarcanes are in the ratio 5 : 7. If the shorter sugarcane is 85cm. Find the length of the other sugarcane.

Convert 5694 ml to litres, leaving your answer in three significant figures.

The points \(G(-1, 4)\) and \(H(3, 7)\) are in a plane, find the length of \(GH\).

Which of the numbers is 578 less than 8002?

Farida covers a distance of 43.609km each day. Find the total distance Farida will cover in 40 days, correct your answer to the nearest 2 significant figures.

If vector \(e=\binom{4}{4}\), \(g=\binom{8}{2a}\), and \(\frac{1}{2}g=e\), find the value of \(a\).

Find the product of perfect squares less than 10.

Which ordered pair is a solution to the equation \(y = 5x - 4\) ?

The difference between two fractions is \(\frac{3}{8}\). The least of them is \(\frac{1}{6}\). Find the other fraction.

A simple interest of GH¢500.00 is earned on an amount of GH¢15,000.00 for 2 years. Find the rate of interest per annum.

Simplify \(3^5 \div 18 - 15^0\).

A circular tarpaulin pond has an area of \(616m^2\). Find the circumference of the base of the pond. \([Take \ \pi = \frac{22}{7}]\)

Given that k = 14, what type of angle is (4k − 6)

Simplify \(\left(\frac{27}{125}\right)^{\frac{1}{3}}\).

The median of the ordered set of observations 4, 6, 2b, (3b + 6), 10 and 12 in ascending order is 8. Find the value of b.

The bearing of Circle from Adabraka is 245°. Find the bearing of Adabraka from Circle.

Sedem and Eyram shared some oranges in the ratio 7 : 9. If Sedem had 40 fewer oranges than Eyram, how many oranges did they share?

Find the image of -2 under the mapping \(x \mapsto x^2 + 4\).

If two dice are rolled at once, find the probability of getting a sum of 5.

The point P(5, -5) is rotated clockwise about the origin through an angle of 270°. Find the coordinates of its image.

A table is 160m away from the foot of a vertical wall. The angle of depression of the table from the top of the wall is 45°. Find the height of the wall. [ Take tan(45°) = 1]

Calculate \((6.5 \times 10^{-3}) \times (3.3 \times 10^{4})\), leave your answer in standard form.

Find the truth set of \(\frac{1}{6}(2k - 2)=\frac{2}{5}(-2)\).

Given that \(s^2-r^2=(s+r)(s-r)\), calculate \(25.8^2-5.8^2\).

What is the median of a set of factors of 72 less than 20?

If \((x, y) \mapsto (5x, 3y)\), find the image of \(\left(-2\frac{2}{5}, 3\frac{1}{3}\right)\) under same mapping.

The pie chart below shows the distribution of weight (in kg) of items bought by Elinam. Find the fraction that represents Vegetables.

The pie chart below shows the distribution of weight (in kg) of items bought by Elinam. What is the value of the angle of Vegetables?

A heptagon has three of its interior angles to be congruent, the remaining angles are as follows: 125°, 105° and 100°. Find the value of one congruent angle.

1. In a town, workers are into farming, fishing or both. The number of workers who are into fishing are four and a half times the number of workers who are into farming. Those who are into both occupations are half of those who are into farming, if the number of workers who are into one occupation is 45. (a) Illustrate the information on a Venn Diagram. (b) Find the number of workers who are into (i) Fishing (ii) Farming (c) What is the total number of workers who are in both occupations?

2. (a) A regular polygon has each of its interior angles as 140°. How many sides does the polygon have?

A chop box has a length of 6cm, a breadth of 4cm and a height of 11cm. (i) Illustrate with a diagram the net of the chop box. (ii) Find the total surface area of the chop box.

2. (c) Evaluate (3n−8)/(n+3m) − 1/(n²m) given that n = −1 and m = 4.

3. (a) From the top of a vertical electric pole, the angle of depression of a mango on the horizontal ground is 60°. If the mango is 10m away from the base of the pole, find, correct to 1 decimal place, the height of the pole. [Take tan(60°) = 1.73]

3. (b) Find the value of m, given that (m − 3)³ × (m − 3)⁴ = 5⁷.

3. (c) Simplify 4½ − 8/3 of (5/6 + 1/2).

4. (a) If the vector a = (4, −1) and b = (3x − 6, 3) are perpendicular, find the value of x.

4. (b) Three bells toll at intervals of 20 minutes, 32 minutes and 40 minutes respectively. If they all toll together at 09:00 am, when next do they toll together again?

Find the values of a and b in the figure below.

Using a pair of compasses and a ruler only, construct a hexagon ABCDEF, such that |AB| = 7cm. (b) If G is the centre of the hexagon, measure ∠AGB. (c) Measure ∠EGD, ∠BGC and ∠CGD and compare the angles.

The school prefect of ByGrace International School is investigating how learners rate his performance. He prepared a five-point Likert scale, administered to primary learners. The rating is as follows: Excellent – 1, Very Good – 2, Good – 3, Fair – 4, Poor – 5. The result obtained is as shown below. (a) Draw a bar graph to represent the information. (b) How many learners are in the primary department of the school? (c) If those who partook in the exercise represented 80% of the total learners in the school, find the total number of learners in the school.