Palm & Cedar Super Mock April 2026 Mathematics

Given the set P = { -4 < x ≤ 3}, Find n(P)

Solve for x, if 4(x - 3) + 2x = 7x - 9

A regular polygon has 18 sides, find the value of each interior angle

What is the range of the scores?

Find the mean score

What is the modal score?

How long will the simple interest on GH¢550.00 at 12% per annum be GH¢132.00

Find the vector which translates the point (2,4) to the point (5,3)

Given that 4^x = 1, find the value of x

The height of a number of seedling is 7.0959cm, correct this value to three significant figures.

Find the total gate fee paid by 200 adults and 120 students at Kakum National park if the rates are GH¢50.00 and GH¢10.00 respectively.

Jude travelled a distance of 12km on a bicycle at an average speed of 3km/h. How long did it take him to make the trip?

In an examination 75% of the students passed. If 300 students passed the examination, how many students wrote the examination?

Which of the following is not a triangular number?

A purse contains four GH¢5.00 notes, five GH¢10.00 notes and three GH¢20.00 notes. If a note is selected at random, find the probability that it is a GH¢5.00 note.

From the solid shapes below, which of them is a prism?

Esi is three times as old as Kofi. If the sum of their ages is 40 years, find Esi’s age.

Solve 3(x - 5) > 15 - 4(8 - x)

Amina scored an average of 53 in French and mathematics. If she scored 50 and 60 in Science and social studies respectively, find her mean score in all the four subjects.

Find the magnitude of the vector (-5,12)

Which of the following are parallelograms? I Rectangle II Rhombus III Square

The length of a rectangular room is 4m. If it has a diagonal of 5m, find its perimeter.

Which of the following vectors is parallel to (5,2)

Ama has x pieces of cake. She gives y pieces to each of her five friends. How many pieces of cake does she have left?

What type of angle is ∠PQR in the diagram?

Evaluate a^2 - (a - ab), if a = -3 and b = 5

Find the gradient of the line joining the points (2,5) and (5,14)

The volume of a cylindrical tank is 100 cm³. If the area of the base is 25cm², find its height.

Esi, Ama and kofi shared some oranges. Esi received 10 of the oranges, Ama received 15 oranges more than Esi and Kofi received 9 oranges less than Ama. How many oranges did Kofi receive?

Esi, Ama and kofi shared some oranges. Esi received 10 of the oranges, Ama received 15 oranges more than Esi and Kofi received 9 oranges less than Ama. How many oranges were shared?

Factorize 5ay - by + 15a - 3b

The interior angle of a quadrilateral is given by (k - 62). Find the value of k

Find the sum of the counting numbers between 12 and 18.

A woman gave birth to a son when she was 24 years old. Now she is three times as old as her son. Find the age of the son

The perimeter of a rectangle is 24cm. If the length is 7cm, find its area.

In an enlargement with scale factor 2, which of the following statements is not true?

Find the value of x in the diagram above.

Simplify √12 + √48 - √3

Given that (3.14 × 18) × 17.5 = 3.14 × (3p × 17.5) find the value of p

The instrument that can be used to measure the angle formed at the circumference of a circle is called

1. In a survey conducted at Tema market, 1/4 of the female traders who sell Tomatoes(T) also sell Onions(O). 2/5 sell only tomatoes while 11/20 sell onions. 5 traders sell neither of the commodities. (a) Illustrate the information on a Venn diagram. (b) What fraction of the traders sell tomatoes? (c) If a trader is chosen at random, find the probability that she sells only one of the commodities.

The figure below shows a sports field of a school. Given that |AB| = 84cm and |AB| : |AD| = 3 : 1. Find the (a) area of the sports field (b) perimeter of the field [Take π = 22/7]

2. (c) Write 46,002,807 in words

3. (a) Given the domain {x : 1 ≤ x ≤ 6} where x is a natural number, find the truth set of 1/3 (2x - 1) - 1/2 (x - 3) ≤ 1 3/4.

3. (b) In a District Assembly elections, a total of 45,600 valid votes were cast among five candidates: Ama, Kofi, Abena, Kwame, and Yaa. Ama received 1/8 of total votes, Kofi got 30% of the votes, Abena received 6,840 votes, and Kwame obtained 5,472 votes. The remaining votes went to Yaa. (i) find the total votes obtained by Ama, Kofi and Yaa altogether. (ii) Who won the election?

4. A water tank is 4/5 full of water. When 1,900 litres of water is fetched, the tank becomes 1/6 full of water. Find: (a) (i) the capacity of the water tank (ii) the initial volume of water in the tank (iii) correct to one decimal place, the volume of water remaining, in cubic centimeters.

4. (b) From the top T of a cliff, the angle of depression of a point P on the ground is 45° If the height of the cliff is 25cm (i) Draw a diagram to illustrate the information above (ii) Find the distance between the foot(F) of the cliff and the point P. [Take tan 45° = 1]

5. (a) Using a ruler and a pair of compasses only, construct triangle ABC such that |AB|=9cm, angle BAC = 60° and angle ABC = 45° (b) Construct a line from C perpendicular to AB and let it meet AB at P (c) With P as center and radius PB draw a circle (d) Calculate the perimeter of the circle. Correct to two decimal places. [Take π = 22/7]

The marks scored by some candidates in an English test are as follows: (a) Construct a frequency distribution table for the scores. (b) Using the table, find from the distribution, the (i) Modal score (ii) Mean, correct to one decimal place. (c) Illustrate the information on a bar chart. (d) If a student is chosen at random from the class, what is the probability that he/she scored above .