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Mathematics Questions - KCPE 2023 Past Papers

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What is three million forty eight thousand two hundred and fifty seven written in numerals?
1. 30482 7
2. 3408257
3. 3480257
4. 3084257
What is the place value of 7 in the number 9843.071?
1. Tens
2. Tenths
3. Hundredths
4. Hundreds
What is the next number in the pattern shown below?
³/₄, 1¹/₄, 1³/₄, 2¹/₄, _______.
1. 1¹/₈
2. 1²/₃
3. 2³/₄
4. 3¹/₄
What is ³/₈as a percentage?
1. 12¹/₂
2. 18³/₄
3. 36¹/₂
4. 37¹/₂
Charity cycled from home to school a distance of 12 kilometres. She started the journey at 7.20 a.m and arrived at 8.00 a.m. What was her speed in metres per second?
1. 2.5
2. 5
3. 10
4. 18
The figure below shows a trapezium UWXY. Line YX is parallel to line UW. The perpendicular distance between the parallel lines is 12 cm and line YX = 18 cm. The area of the trapezium is 252 cm².

What is the length of line UW?
1. 16 cm
2. 18 cm
3. 24 cm
4. 39 cm
A teacher shared pencils among his learners. The girls received ²/₃ of the pencils and the boys received ⁵/₆of theremainder. The
teacher remained with 8 pencils. How many pencils did the teacher have before sharing?
1. 40
2. 96
3. 136
4. 144
A school received five thousand and forty two books. The books were delivered in two lorries. The first lorry had three thousand and sixteen books. How many books were in the second lorry?
1. 2026
2. 2036
3. 7068
4. 8058
What is the value of
¹/₂of (²/₃ − ¹/6) ÷ 1¹/₄?
1. ¹/₃
2. ¹/₅
3. ²/₁₅
4. ⁵/₁₆
Cylindrical tins each of diameter 20 cm and a height of 15 cm were packed in a carton. The carton measured 120 cm long, 80 cm wide and 30 cm high. How many tins were packed in the carton?
1. 61
2. 48
3. 24
4. 12
What is the value of 16.8×0.0542 ?
0.072
1. 0.0126
2. 1.26
3. 12.6
4. 126
A scale drawing of a rectangular plot of land measures 3 cm by 2 cm. The scale used is 1:2000. What is the actual area of the plot in ares?
1. 24000
2. 2400
3. 240
4. 24
What is the value of x in the equation
^2x/₃ − ^4x/₉ = 12?
1. 54
2. 10⁴/₅
3. 10¹/₂
4. 9
What is 567432 rounded off to the nearest ten thousands?
1. 560000
2. 567000
3. 570000
4. 600000
Three bells ring at intervals of 12 minutes, 24 minutes and 36 minutes. They rang together at 10.00 a.m. When was the last time they rang together before 10.00 a.m?
1. 8.48 a.m
2. 8.48 p.m
3. 11.12 a.m
4. 11.12 p.m
The area of a semicircle is 39.25 cm². What is the length of the diameter? (Тakе л = 3.14)
1. 25 cm
2. 10 cm
3. 6 cm
4. 5 cm
A pupil reported to a boarding school on 27^th January, 2019. He went for a mid-term break on 18^th March 2019. How many nights did he spend in school?
1. 49
2. 50
3. 51
4. 52
The area of a square plot of land is 0.0576 hectares. The plot was fenced all round using five strands of wire. What was the total length of the wire used?
1. 480 m
2. 192 m
3. 96 m
4. 24 m
A pipe has a diameter of 0.7 m and a length of 3 m. The outer surface of the pipe was painted. What was the area that was painted?
(Таkе л = ²²/₇)
1. 13.2 m²
2. 10.4 m²
3. 6.6 m²
4. 2.2 m²
What is the value of 4n²(r + y) + ny when n = 2, r = 3 and y = 5
r + y − n
1. 10¹/₂
2. 12¹/₃
3. 23
4. 138
A printing press produced 11457 books on Monday. It produced 308 more books on Tuesday than on Monday. On Wednesday, it produced 4796 less books than the total number produced both on Monday and Tuesday. How many books were produced in the three days?
1. 16561
2. 18426
3. 23222
4. 41648
A cylindrical container has a diameter of 56 cm and a height of 30 cm. The container is half filled with water. How many litres of water are in the container? Тakе л = ²²/₇
1. 258.72
2. 147.84
3. 73.92
4. 36.96
Construct triangle PQR such that line PQ = 10 cm and angle RPQ = angle RQP = 40°. Construct a circle that touches the vertices P, Q and R. What is the measure of the diameter of the circle?
1. 10 cm
2. 5 cm
3. 3.6 cm
4. 1.8 cm
A van is loaded with 120 cartons each containing 40 packets of salt. The mass of each empty carton is 500 g and that of each packet of salt is 750 g. What is the total mass of the load in kilograms?
1. 36600
2. 3660
3. 3600
4. 3540
Kelvin deposited sh 15 000 in a bank. The bank paid compound interest at the rate of 12% per annum. What was the total interest paid by the bank at the end of two years?
1. sh 18 816
2. sh 3 816
3. sh 3 600
4. sh 2016
Ntimama had 40 cows and 55 goats in his farm. He sold 10% of the cows and increased the number of goats by 20%. What was the new number of animals in the farm?
1. 110
2. 106
3. 102
4. 80
The area of a right angled triangle is 54cm². The length of one of the shorter sides is 12cm. What is the perimeter of the triangle?
1. 15 cm
2. 21 cm
3. 36 cm
4. 42 cm
A saleslady earns a basic salary of sh 10 500 per month. She also earns a commission on sales above sh 100 000. In one month, she sold items worth sh 150 000 and earned a total of sh 18 000. What was the percentage commission?
1. 5
2. 7
3. 12
4. 15
A rectangular floor measures 7.5 m long and 2.5 m wide. The floor is covered with square tiles of side 0.5 m. How many tiles were used to cover the floor completely?
1. 112
2. 75
3. 38
4. 28
What is the value of
7(3² + 4) − 5 x 8 ÷ 2 + 6?
1. 77
2. 56
3. 53
4. 35
The following figure shows a triangle drawn inside a semicircle.

What is the area of the shaded part in cm²? (Take π = ²²/₇ )
1. 775.25
2. 481.25
3. 294.00
4. 187.25
What is the square of 6¹/₄?
1. 156¹/₄
2. 39¹/₁₆
3. 36¹/₁₆
4. 2¹/₂
A family uses 30 decilitres of milk everyday. How many litres of milk did they use during the months of February and March 2016?
1. 186
2. 183
3. 180
4. 177
A cuboid measures 6 cm long, 5 cm wide and 4 cm high. What is the total length of the edges?
1. 30
2. 60
3. 90
4. 120
The cash price of a sewing machine is sh 24 800. The hire purchase price is 15% more than the cash price. Joseph purchased the machine on hire purchase terms. He paid a deposit of sh 8 520 and ten equal monthly instalments. How much was the monthly instalment?
1. sh 20 000
2. sh 2 852
3. sh 2 480
4. sh 2 000
The average mass of 36 pupils is 45 kg. The average mass of the pupils together with their teacher is 46 kg. How much more is the mass of the teacher than the average mass of the pupils?
1. 127 kg
2. 82 kg
3. 37 kg
4. 36 kg
The marked price of a bag of beans was sh 4 500. A school bought eight bags of beans at a total cost of sh 34 400. What was the total discount allowed?
1. sh 200
2. sh 1 600
3. sh 4 300
4. sh 4 700
A trader bought 10 crates of soda at sh 600 per crate. He paid sh 30 per crate for transportation. Each crate of soda contained 24 bottles but ten bottles broke during transportation. He later sold each bottle of soda for sh 30. What percentage profit did the trader make?
1. 20
2. 14²/₇
3. 10
4. 9¹¹/₂₁
A poultry farmer bought the following items:
2 chick feeders @sh 85
5 bags of chick mash @sh 450
4 bags of growers mash @sh 650
2 packets of chick formula for sh 150
She paid for the items using 6 one thousand shilling notes. How much balance did she get?
1. sh 680
2. sh 830
3. sh 4 665
4. sh 5 170
In the figure shown, lines RS and TU are parallel. Line VW is a transversal.

Which one of the following statements is correct?
1. Angle a = Angle f
2. Angle (c+e) = 180°
3. Angle (g+d) = 180°
4. Angle (d+h) = Angle (a+e)
Juma bought a pair of trousers for sh r. He also bought a pair of shoes for twice the price of a pair of trousers and a shirt for half the price of the pair of trousers. He paid using two sh x notes. Which one of the following expressions represents the balance Juma got?
1. x − 3¹/₂r
2. 2x − 3¹/₂r
3. 2x + 3¹/₂r
4. x + 2 − 3¹/₂r
The following pie chart shows sales made by a farmer in a certain day.

The value of the sales for maize was sh 880. What was the value of the sales for bananas?
1. sh 1760
2. sh 2 420
3. sh 2 860
4. sh 7 920
Which one of the following statements is correct about all right angled triangles?
1. Two sides are equal
2. Two angles are right angles
3. The largest angle is 90°
4. The longest side is opposite the smallest angle
Eighteen men working at the same rate can complete a job in 30 days. How many more men, working at the same rate can complete the same job in 12 days?
1. 15
2. 27
3. 33
4. 45
The following are properties of quadrilaterals.
1. all sides are equal
2. opposite angles are equal
3. all angles are equal
4. diagonals bisect each other
  Which one of the properties is true for a rhombus?
  1. (ii), (iii), (iv)
  2. (i), (ii), (iii)
  3. (i), (iii), (iv)
  4. (i), (ii), (iv)
Which one of the following statements is correct?
1. 0.45 > 48%
2. ¹/₄ < 0.2
3. ³/₄ = 0.85
4. 0.36 > ⁷/₂₀
Construct triangle PQR such that line PQ = 8 cm, angle RPQ = 45° and angle PRQ = 75°. Construct a perpendicular line from point R to meet line PQ at M. What is the measure of line RM?
1. 2.9 cm
2. 5.0 cm
3. 5.9 cm
4. 7.2 cm
The following table shows a timetable for a certain aeroplane plying from Airport S to Airport V.

Airport Arrival time Departure time

S
T
U
V
1450h
1610h
1805h 1400h
1510h
1620h

A passenger arrived at Airport T at 1.30 p.m.. How long did the passenger have to wait to depart from the airport?
1. 20 minutes
2. 30 minutes
3. 1 hour 20 minutes
4. 1 hour 40 minutes
Brenda has x books. Amina has thrice as many books as Brenda. Juma has 10 books less than the total number of books both Brenda and Amina have. They have a total of 86 books altogether. Which one of the following equations can be used to find the number of books Brenda has?
1. 8x − 10 = 86
2. 8x + 10 = 86
3. 4x + 10 = 86
4. 4x − 4 = 86
The bar graph below shows the amount of milk, in litres, a farmer got from his farm in one week.

Which two days following each other in the week had the highest total production of milk?
1. Tuesday and Wednesday
2. Wednesday and Thursday
3. Wednesday and Sunday
4. Saturday and Sunday

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Mathematics Questions - KCPE 2023 Past Papers

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Airport	Arrival time	Departure time
S T U V	1450h 1610h 1805h	1400h 1510h 1620h