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 space which bears the same letter as the option you have chosen. Give only one answer to each question.
Question 1
A trader sold an article for \(\text{GH}¢ 126.00\) marking a profit of 20%. Find the cost price of the item.
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Question 2
Ivy and Abbey share an amount of \(\text{GH}¢ 30.00\) in the ratio 3 : 2 respectively. Find Abbey's share.
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Question 3
Given the sequence \(-9, -5, m, 3, 7, 11\), find the value of \(m\).
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Question 4
A class of 42 learners shared some oranges and each received 11. If 22 learners shared the same number of oranges equally, how many will each get?
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Question 5
Kofi had 150 birds. He sold 26 of them and kept the rest equally in 4 cages. How many birds were kept in each cage?
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Question 6
Arrange the following: \(\dfrac{3}{4}, 0.8, \dfrac{5}{8}, 0.65\) in descending order.
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Question 7
Find the volume of a cube with side 5 m.
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Question 8
Make \(y\) the subject of the relation \(p = \dfrac{r - 4y}{3}\).
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Question 9
In a test, \(\dfrac{2}{3}\) of the learners passed. If the number of learners who failed was 69, how many passed?
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Question 10
Write 0.000437 in standard form.
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Question 11
Find the circumference of a circle whose area is \(100\pi \text{ cm}^2\).
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Question 12
A number is chosen at random from the set \(P = \{1, 2, 3, 4, 5, \ldots 10\}\). What is the probability that the number is greater than 3?
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Question 13
Antwi has 20 mangoes and 20% are rotten. How many of them are not rotten?
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Question 14
Simplify: \(\sqrt{75} - \sqrt{18} - \sqrt{3} + \sqrt{2}\).
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Question 15
If \(a = \begin{pmatrix} 3 \\ 1 \end{pmatrix}\) and \(b = \begin{pmatrix} -2 \\ 1 \end{pmatrix}\), evaluate \(6b + 2a\).
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Question 16
Which of the following is not a composite number?
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Question 17
Factorize: \(3a^2b - 9ab^2\).
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Question 18
A boy spends \(\dfrac{1}{4}\) of his pocket money on books and \(\dfrac{1}{3}\) on pens. What fraction remains?
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Question 19
Change 25% to a fraction in its lowest form.
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Question 20
Evaluate: \(p^2(q - 1)\) when \(p = 2\) and \(q = \dfrac{3}{4}\).
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Question 21
A cyclist travelling at 20 km/h covered a distance in 35 minutes. What time will it take to cover the same distance travelling at 28 km/h?
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Question 22
Mary receives a commission of 15% on articles sold in a week. If her commission was \(\text{GH}¢ 60.00\), how much sales did she make?
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Question 23
Find the value of \(y\) in the diagram.
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Question 24
The product of three numbers is 90. If two of the numbers are 6 and 3, find the third number.
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Question 25
What is the rule for the mapping?
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Question 26
Simplify: \(x - 5(3 - 2x) - 12x + 7\).
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Question 27
Given that \(\mu = \{1, 2, 3, \ldots 10\}\) and \(M = \{2, 3, 5, 7\}\), where \(M\) is a subset of \(\mu\). List the members in \(\mu\) that are not in \(M\).
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Question 28
Find the median mark.
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Question 29
Find the probability that a learner selected at random scored 2.
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Question 30
If \((x + 2) : (x - 2) = 1 : 2\), find the value of \(x\).
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Question 31
Kofi paid an interest of \(\text{GH}¢ 30.00\) on a loan he took for 4 years. If the rate was 3% per annum simple interest, find the amount borrowed.
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Question 32
Solve: \(7 - 2x > 15 - 4x\).
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Question 33
Theresa was asked to select at random a letter from the word HAPPY. What is the probability that she select the letter P?
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Question 34
Mr Mensah left his house at 9:45 am and reached his village at 4:15 pm. Find the time spent.
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Question 35
Two sets which have the same number of members are . . . sets
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Question 36
A square of area 144 cm² has the same perimeter as an equilateral triangle. Find the length of a side of the triangle.
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Question 37
If \(2^{2m} = 8\), find the value of \(m\).
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Question 38
If \(\dfrac{3}{4}x = 2 + \dfrac{1}{4}\), find the value of \(x\).
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Question 39
The marks obtained by 11 learners in a test are: 2, 5, 5, 6, 7, 7, 8, 8, 8, 9, 10. What is the modal mark?
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Question 40
Find the image of the point \((2, -3)\) under the transformation \(\begin{pmatrix} x \\ y \end{pmatrix} \to \begin{pmatrix} x \\ y - 2 \end{pmatrix}\).
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