Palm & Cedar March 2026 Mathematics

The Venn diagram below shows two sets P and Q formed from universal set U. If n(Q) = 3n(P), use it to answer this question. What is the value of x?

The Venn diagram below shows two sets P and Q formed from universal set U. If n(Q) = 3n(P), use it to answer this question. Find n(PUQ).

What is the value of 7 in the sum of 22349 and 5564?

Mrs. Adu has an amount of GH¢ 468527.00 in his bank account. The bank decides to round all customers account balances to the nearest thousand Ghana cedis. What is Mrs. Adu's new balance?

Express the product of 0.06 and 0.09 in standard form.

By how much is \(\dfrac{5}{7}\) more than \(\dfrac{3}{5}\)?

Given that N = {x : x is a factor of 18} and M = {x : x is a multiple of 12}. Find N ∩ M.

Solve for \(x\) if \(\dfrac{x-1}{3} - \dfrac{2-x}{5} = 3\).

Express 250° as a compass bearing.

Given that \(\dfrac{5 \times 10^3}{8 \times 10^{-2}} = 6.25 \times 10^n\), find the value of \(n\).

Simplify: \(\dfrac{1}{2}\left(1\dfrac{1}{2} + \dfrac{3}{4} \div \dfrac{1}{4}\right)\).

What is the rule of the mapping below?

Simplify \(\sqrt{27} - 3\sqrt{3} + \sqrt{3}\).

The equation of a straight line given as \(4y + 12x = 16\). Find the gradient of the line.

The VAT of a country is charged at a rate of 12½%. Calculate the VAT on an article sold for GH¢ 500.00.

The diagonal of a square room is 8m long. Find the length of the room.

Make \(p\) the subject of the relation \(y = \dfrac{r + p}{r - p}\).

Factorize completely \(5x^2 - 18x - 8\).

Which of the following is not true of a regular polygon?

A number is chosen at random from the set where x is an integer and 1 ≤ x ≤ 9. Find the probability that it is a multiple of 3 or a prime number.

The bearing of Tema from Kumasi is 045°. What is the bearing of Kumasi from Tema?

Find the range of the numbers 15, 7, 4, 9, 2, 5, 18, 33, 10 and 5.

Find the gradient of the line joining the points M(-4, 0) and N(0, 6).

The cost of a freezer is GH¢3600.00. If a woman decides to pay GH¢800.00 monthly, how long will it take to complete the payment?

Adu is y years old now. Five years ago, he was half as old as he is now. Find his age now.

The exterior angle of a regular polygon is 45°. Find the sum of its interior angles.

In the diagram below, ST//QR, /PS/=6cm, /SQ/=3cm and /PT/=8cm. Find /TR/.

A long wooden bar is cut into three parts in the ratio 5 : 3 : 7. If the longest part is 98 cm long, find the length of the wooden bar.

To inscribe a triangle, one needs to:

An insurance company issues fire insurance at a premium of 5.5% of the insured value. If a customer pays a premium of GH¢330.00, find the value of the customer's shop.

The outcomes obtained when a die is rolled 250 times are shown in the table below. Use the information to answer this question. Find the value of x.

The outcomes obtained when a die is rolled 250 times are shown in the table below. Use the information to answer this question. Find the probability of obtaining a prime number.

The outcomes obtained when a die is rolled 250 times are shown in the table below. Use the information to answer this question. What is the sum of the outcome greater than 3?

A box contains 40 identical balls of which 10 are red and 12 are blue. If a ball is selected at random from the box, what is the probability that it is neither red nor blue?

Given that n(K) = 10, n(Y) = 8 and n(K∩Y) = 3. Find n(K∪Y).

15 boys painted a house in 10 days. How many days would 25 boys use to paint the house if they work at the same rate?

The difference between two numbers is 5. If the ratio of the two numbers is 3:2, find the two numbers.

Find the magnitude of the vector \(\overrightarrow{AB} = \begin{pmatrix} -3 \\ 4 \end{pmatrix}\).

A map shows a scale of 1:5000. What is the actual distance between two towns that are 8cm on the map?

A set of playing cards is numbered 1 to 20. Find the probability that a card drawn at random has a number within the interval \(5 < x < 12\).

P and Q are two sets and their number of elements are shown in the diagram below; Given that n(P)=n(Q), calculate: (i) n(P∩Q) (ii) n(Q) (iii) n(P∪Q)

1. (b) A tank can hold 240 liters of water. How much water is in the tank when it is 1/5 empty?

2. (a) A ladder which is 17m high is placed against a vertical wall. If the distance separating the foot of the ladder and the wall is 8m, (i) Make a sketch to illustrate the information. (ii) Find the height of the wall?

2. (b) In a hall, there are 175 persons. 12% are children, 56 are men and the rest are women. How many women are in the hall?

3. (a) A rectangular tank of sides 4m by 8m by 11m has the same volume as a cylindrical tank of height 7m with both ends opened. Find the radius of the cylindrical tank. [Take π = 22/7]

3. (b) The probabilities that John and James will pass an examination are 3/4 and 1/4 respectively. Find the probability that both will fail the examination.

4. (a) The interior angles of a triangle are (y + 10)°, (2y - 40)°, (3y - 90)°. (i) Find the value of y (ii) What type of triangle is it?

Find the value of x° in the diagram below.

The table below shows the monthly contributions and expenditure pattern of Mr Ali in 2025. (a) Draw a pie chart to illustrate the data. (b) If the income tax was deducted from the gross monthly salary of GH¢ 2800.00, find his take home pay

6. Using a scale of 2cm to 2 units on each axes, draw on a graph sheet of paper two perpendicular line Ox and Oy for the interval -8 ≤ x ≤ 12 and -12 ≤ y ≤ 12 (a) Draw ΔABC with coordinates A(5, 7), B(3, 4) and C(7, 3) (b) Draw the image ΔA1B1C1 of ΔABC under translation by the vector (4, -2) such that A → A1, B → B1 and C → C1 (c) Draw the image ΔA2B2C2 of ΔABC under reflection in the line y = 0, such that A → A2, B → B2 and C → C2 (d) Draw ΔA3B3C3 of ΔABC the image under rotation through 90° anticlockwise about the origin, such that A → A3, B → B3 and C → C3