Palm & Cedar March 2026 Mathematics
Palm & Cedar March 2026 Mathematics - Paper 1 - Objective Instructions
Answer all the questions. Each question is followed by four options lettered A to D. Find the correct option for each question and shade in pencil on your answer sheet the answer space which bears the same letter as the option you have chosen. Give only one answer to each question.
Question 1
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?
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Question 2
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).
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Question 3
What is the value of 7 in the sum of 22349 and 5564?
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Question 4
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?
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Question 5
Express the product of 0.06 and 0.09 in standard form.
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Question 6
By how much is \(\dfrac{5}{7}\) more than \(\dfrac{3}{5}\)?
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Question 7
Given that N = {x : x is a factor of 18} and M = {x : x is a multiple of 12}. Find N ∩ M.
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Question 8
Solve for \(x\) if \(\dfrac{x-1}{3} - \dfrac{2-x}{5} = 3\).
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Question 9
Express 250° as a compass bearing.
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Question 10
Given that \(\dfrac{5 \times 10^3}{8 \times 10^{-2}} = 6.25 \times 10^n\), find the value of \(n\).
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Question 11
Simplify: \(\dfrac{1}{2}\left(1\dfrac{1}{2} + \dfrac{3}{4} \div \dfrac{1}{4}\right)\).
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Question 12
What is the rule of the mapping below?
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Question 13
Simplify \(\sqrt{27} - 3\sqrt{3} + \sqrt{3}\).
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Question 14
The equation of a straight line given as \(4y + 12x = 16\). Find the gradient of the line.
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Question 15
The VAT of a country is charged at a rate of 12½%. Calculate the VAT on an article sold for GH¢ 500.00.
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Question 16
The diagonal of a square room is 8m long. Find the length of the room.
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Question 17
Make \(p\) the subject of the relation \(y = \dfrac{r + p}{r - p}\).
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Question 18
Factorize completely \(5x^2 - 18x - 8\).
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Question 19
Which of the following is not true of a regular polygon?
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Question 20
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.
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Question 21
The bearing of Tema from Kumasi is 045°. What is the bearing of Kumasi from Tema?
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Question 22
Find the range of the numbers 15, 7, 4, 9, 2, 5, 18, 33, 10 and 5.
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Question 23
Find the gradient of the line joining the points M(-4, 0) and N(0, 6).
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Question 24
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?
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Question 25
Adu is y years old now. Five years ago, he was half as old as he is now. Find his age now.
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Question 26
The exterior angle of a regular polygon is 45°. Find the sum of its interior angles.
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Question 27
In the diagram below, ST//QR, /PS/=6cm, /SQ/=3cm and /PT/=8cm. Find /TR/.
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Question 28
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.
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Question 29
To inscribe a triangle, one needs to:
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Question 30
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.
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Question 31
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.
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Question 32
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.
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Question 33
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?
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Question 34
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?
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Question 35
Given that n(K) = 10, n(Y) = 8 and n(K∩Y) = 3. Find n(K∪Y).
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Question 36
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?
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Question 37
The difference between two numbers is 5. If the ratio of the two numbers is 3:2, find the two numbers.
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Question 38
Find the magnitude of the vector \(\overrightarrow{AB} = \begin{pmatrix} -3 \\ 4 \end{pmatrix}\).
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Question 39
A map shows a scale of 1:5000. What is the actual distance between two towns that are 8cm on the map?
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Question 40
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 \(5 < x < 12\).
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