CEMPE March 2026 Mathematics
CEMPE March 2026 Mathematics - CEPME Mathematics Instructions
Answer all questions. Each question is followed by four options lettered A to D. Find out 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
A pencil and 6 erasers cost Gh¢15.00. The pencil cost Gh¢6.00. What is the cost of one eraser?
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Question 2
Solve the equation \(10^{2x}=0.000001\)
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Question 3
If p oranges are sold for q pesewas each, find the total selling price in cedis
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Question 4
Which of the basic properties of rational numbers is used in the following experation? \((27x24) +(23x24)=50x24\)
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Question 5
The set p={prime factors of 24} and the set Q ={ prime factors of 35}. List the members of P∪Q
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Question 6
Find the median of the numbers 25,57, 17, 33, 73, 81, 42
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Question 7
Factorize x (x-2) - 3xy +6y
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Question 8
If 15-px -x² = 0 find p, when x =3
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Question 9
Make w the subject of the relation \(\frac{1}{y}= \frac{a}{x} + \frac{b}{w}\)
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Question 10
In the diagram OP || NQ, MSN is a straight line MÔP =53 and SNQ =135°. Find OMS.
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Question 11
What is P∩Q in the diagram below?
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Question 12
A circle of diameter 14cm is cut from a square of side 14cm. Find the remaining area (Take π=22/7)
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Question 13
An increase of 20% in Yaa’s salary raised it to Gh¢24000.00. What was her original salary?
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Question 14
What is the rule for the mapping below?
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Question 15
A car travels at an average speed of 80km/h How far does it travel in 48 minutes?
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Question 16
The exterior angle of a regular polygon is 120°. Find the sum of its interior angles
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Question 17
By selling a radio for Gh600.00, a man made a loss of 25%. What was the cost of the radio?
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Question 18
The gradient of a gentle hill is 0.5. What is the vertical rise corresponding to a horizontal distance of 160m?
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Question 19
Find the tangent of the angle x in the diagram
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Question 20
A trader received a commission of 12.5% on sales made in a month. His commission was Gh¢3500.00. Find his total sales for the month
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Question 21
If r = \( \begin{pmatrix} 3 \\ 1 \end{pmatrix} \) and v = \( \begin{pmatrix} -2 \\ 1 \end{pmatrix} \) evaluate 6(r+2v)
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Question 22
If 22% of the length of a rope is 55cm. Find the full length of the rope
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Question 23
How many lines of symmetry does a rectangle have?
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Question 24
Which properly is illustrated by the statement ax(b+c) =(axb)+ (axc)?
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Question 25
Solve the equation 13x -2 (3x+4)=22
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Question 26
Simplify -27+18-(10-14)-(-2)
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Question 27
Yaa went to the market and bought 500g of meat 850g of eggs and 900g of fish. What is the total weight of the items she bought in kilo grams?
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Question 28
A boy walks on a bearing 060°. Which of the following diagram show his direction?
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Question 29
The point Y (5, 4) is reflected in the y-axis. Find its image
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Question 30
Calculate the volume of a cylinder with diameter 14cm and height 10cm. (Take x=22/7)
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Question 31
The average age of five boys is 16years. The average age of four of them is 18years 6months. What is the age of the fifth boy?
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Question 32
Find the value of 9+y² -6y when y= -2
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Question 33
If \( \frac{m+1}{m-2} = r\), express m in terms of r
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Question 34
Which of the fractions 3/5, 7/10, 13/20 and 3/4 is the greatest?
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Question 35
Which of the following is a prism?
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Question 36
The price of an article was increased by 10%. How many times was the new price greater than the old price?
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Question 37
What length of carpet 0.75m wide will be required to cover completely the floor of a room which is 15m long and 10m wide?
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Question 38
Factorize x²-5x+6
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Question 39
An angle which is more than 90° but less than 180° is.............
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Question 40
What is the image of -4 in the mapping x → 2x -9?
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