FREE KCPE PAST PAPERS: 2018 MATHEMATICS ANSWERSANSWERS
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Question 41.
Bestee spent his salary as shown in the graph below:
How much more money does he spend on food than clothes?
A. sh 17500 B. sh 14000 C. sh 10500 D. sh 3500 Question 42.
A cylindrical water tank has a diameter of 4m and a height of 4.2 m. One hundred and twenty litres of water is used daily for domestic purposes and a similar amount for the animals. How many days will the water in the tank last if full to capacity? (Take pie = 22/7)
A. 880 B. 440 C. 220 D. 22 Question 43.
Kinje invested money with a financial institution that paid Simple Interest at the rate of 5% p.a. After 60 months the money earned an interest of sh 5000. How much had he invested?
A. sh 20000 B. sh 1666.70 C. sh 1250 D. sh 200 Question 44.
Abdi bought the following items:
What was his balance if he paid using 3 five hundred shillings notes?
A. sh 1309 B. sh 536 C. sh 191 D. sh 3l Question 45.
The figure below shows a circle inscribed in a semi-circle. Part of the figure is shaded and point 0 is the centre of the circle.
If the diameter of the semi-circle is 4m, what is the area of the shaded part? (Take pie = 3.14)
A. 9.42 m^{2}
B. 6.28 m^{2} C. 4.71 m^{2} D. I.57 m^{2} Question 46.
A road 5m wide is to be constructed within and along the edge of a rectangular piece of land measuring 0.62 km by 0.45 km. What is the area of the remaining piece of land in hectares?
A. 26.84 B. 27.3675 C. 27.9 D. 28.98 Question 47.
Pendo, Zawadi and Huruma shared a piece of land. Pendo got 0.45 of the land, Zawadi got 0.30 whi1e Huruma got the rest. How large was Pendo’s share if Huruma got 2 hectares’?
A. 2.4 B. 3.6 C. 6 D. 8 Question 48.In the figure below EFGH is a rhombus and FGJ is a triangle. Angle GFJ = 56^{0} and JGH is a straight line. Line JG = line GH. What is the size of angle HEF? A. 68° B. 90^{0} C. 112^{0} D. 124° Question 49.
A hawker bought sufurias, cups and plates for sh 12000. A few cups and plates broke during transportation. He sold the remaining items as follows:
40 sufurias at sh 180 each 120 cups at sh 160 per dozen 60 plates at sh 140 per set of six How much percentage loss did she incur on selling the items?
A. 15%
B. 17% C. 37.5% D. 85% Question 50.
A man shared his profit of sh 87000 among his three children Kawira, Kioko and Zila. Kawira received 1/4 of the money, Kioko received 1/2 of what Kawira received while Zila received 1/5 of the remainder. How much of the profit was left?
A. sh 43500 B. sh 32625 C. sh 10875 D. sh 4350 Question 31.
Mogaka pays sh 300 for his transport. sh 400 for his 2 sons and sh 100 for his sister daily. If the fare went up by 15%. how much will he spend in six days?
A. sh 5520 B. sh 4800 C. sh 4080 D. sh 920
ANSWER
Question 32.
Mwikali collected money in the following denominations:
8 one thousand shillings notes 18 five hundred shillings notes 70 two hundred shillings notes 100 fifty shillings notes One third of the money was changed into one thousand shillings notes, while the rest was changed into five hundred shillings notes. How many notes did she have altogether? A. 12 B. 24 C. 48 D. 60
ANSWER
Question 33.
The mean height of 8 adults is 1 m 42 cm.
The height of six of the adults were recorded as follows: 1 m 36 cm, 1 m 41 cm, 1 m 52 cm, 1 m 30 cm, 1 m 50 cm, 1 m 37 cm The remaining two adults are of equal heights. What is the height of each of the remaining adults? A. 1 m 40 cm B. 1 m 41 cm C. 1 m 43 cm D. 1 m 45 cm
ANSWER
Question 34.
Construct a circle touching the sides of triangle JKL drawn below.
What is the length of the diameter of the circle?
A. 2 cm B. 4 cm C. 5 cm D. 10 cm
ANSWER
Question 35.
ANSWER
Question 36.
The number of registered voters in a country was 35940.
Three candidates: Hekima, Bidii and Tajiri vied for a seat. Hekima obtained 16048 votes, Bidii garnered 14353 votes, while Tajiri got 3439 votes. The number of spoilt votes was twice as many as that of non-voters. If all the spoilt votes were added to those obtained by Tajiri, how many votes would he have gotten? A. 1400 B. 2100 C. 4139 D. 4839
ANSWER
Question 37.
Which one of the following numbers is two million thirty live thousand and eight hundredths?
A. 2035800 B. 2035000.08 C. 235000.08 D. 235000.008
ANSWER
Question 38.
The pupil population of a certain school was 900. The ratio of boys to girls was 5:4. One day 5% of the girls and 2% of the boys went for a competition. How many pupils remained in the school on that day?
A. 603 B. 837 C. 867 D. 870
ANSWER
Question 39.
What is the place value of digit 7 in 16.05 ÷ 15?
A. Ones B. Tens C. Tenths D. Hundredths
ANSWER
Question 40.
The figure below represents a farm
What is the area of the farm in square metres?
A. 2209 B. 2244 C. 2293 D. 2377
ANSWER
Question 21.
What is the next number in the pattern below?
ANSWER
Question 22.
What is the value of the operation below?
ANSWER
Question 23.
A conference room measures 24 m by 12m. Square carpets of 4 metres long, each costing sh 12000 were used to completely cover the floor. How much did it cost to cover the floor?
A. sh 48000 B. sh 72000 C. sh 216000 D. sh 864000
ANSWER
Question 24.
Eighteen pupils were given a playground to clear in 1 h 40 min. If six of the pupils did not turn up, how much longer did it take the rest of the pupils to clear the playground?
ANSWER
Question 25.
A train timetable for station J to 0 is given below
How long does the train take from station L to N?
A. 6h 40min B. 6h 10mm C. 5h 50min D. 5h 20min
ANSWER
Question 26.
What is the sum of the vertices and faces in a triangular pyramid?
A. 11 B. lO C. 8 D. 7
ANSWER
Question 27.
The pie chart below shows how Demu spends his monthly salary on food, clothing, fees, transport and savings.
If he spends sh 6000 on clothing, how much more money does he spend on food than fees?
A. sh 1500 B. sh 11500 C. sh 13000 D. sh 36000
ANSWER
Question 28.
The perimeter of the figure below is 1120 metres
What is the area of the figure in arcs?
A. 7.59 B. 75.9 C. 759 D. 75900
ANSWER
Question 29.
The marked price of a wheelbarrow is sh 8600. Abach was given 8 1/2 % discount while Asha was given 7% discount for a similar wheelbarrow. How much money was received as discount by Abach and Asha all together?
A. sh 129 B. sh 602 C. sh 1333 D. sh 2064
ANSWER
Question 30.
Wakesho collects 150 eggs daily from her poultry. She sells the eggs at sh 9 each. How much money did she make in the month of February, 2008?
A. sh 40500 B. sh 39150 C. sh 37800 D. sh 1350
ANSWER
Question 11.
What is the value of n in the equation 5n+3(n—4)36?
A. 8 B. 6 C. 5 D. 3 Question 12.
In a ranch the ratio of goats to sheep is 4:3, sheep to cows 5:2 and cows to donkeys is 3:2. What is the ratio of goats to donkeys?
A. 1:2 B. 1:5 C. 2:1 D. 5:1 Question 13.
A pupil left home for school at a speed of 5 km/h and returned at a speed of 4 km/h. The whole journey took 5 h 24 min. How far is the school from home, in kilometers?
A. 9 B. 12 C. 24 D. 27 Question 14.
Zainabu bought five sacks of carrots for Sh. 13500. Each sack weighed 90 kg. How much should she sell a kilogram of carrot in order to make a profit of 10%?
A. sh. 27 B. sh. 3O C. sh. 33 D. sh. 4O Question 15.
A businessman saved sh 900000 in a fixed deposit account which earned Compound Interest at the rate of 15% per annum. How much money did he have in the bank at the end of the 2 years?
A. sh 1035000 B. sh 1170000 C. sh 1190250 D. sh 207000 Question 16.
A pupil recorded the number of family members of his 10 friends as shown in the table below:
What was the product of the median and mode of the number of family members?
A. 13 B. 42 C. 54 D. 56 Question 17.
A field was lobe fenced using 816 posts placed 4 metres apart, leaving a 4 metre space for the gate. If 3 strands of wire were to be used, what would be the total length of wire required?
A. 3260 B. 3264 C. 9780 D. 9792 Question 18.
In the figure below line SR is parallel to line TU, while line ST is parallel to line UV. Line OS=OT and angle RST is 42°.
What is the size of angle TOV?
A. 48° B. 84° C. 96° D. 138° |