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KCPE 2018 Revision Questions and Video Answers
what is
12
x
+
9
x
y
+
18
y
9
y
in its simplest form?
A
.
4
x
+
3
x
y
+
6
y
3
y
B.
12
x
+
x
y
+
18
y
y
C. 13x+2
D. 12x+9xy+2
(3m 11s)
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1.
What is 440444.04 written in words? A. Forty four thousand four hundred forty four and four tenths. B. Four hundred and forty thousand four hundred and forty four and four hundredths. C. Four hundred and forty four thousand four hundred and forty four and four hundredths. D. Four hundred and forty thousand four hundred and forty four and four tenths.
2.
what is
2
7
9
x
(
2
5
)
2
÷
1
(
2
3
)
2
A.
4
25
B.
4
9
C.
20
21
D.
18
25
3.
What is the value of 600.79 - 40.0032 + 5.01 to the nearest hundredths? A. 565.80 B. 565.79 C. 565.8 D. 565.797
4.
What is the total value of digit 9 in 3.45×0.27×0.3? A.
9
10
B.
9
100
C.
9
1000
D.
9
10000
5.
What is the value of?
0.124
×
3.84
×
1.1
0.032
×
0.62
A. 264 B. 26.4 C. 2.64 D. 0.264
6.
What is the value of 5.517 x 14.5 correct to 2 decimal places? A. 79.10 B. 79.99 C. 80.0 D. 80.00
7.
A lorry carrying a load of thirty bags of sugar each 90 kg and forty bags of rice each 25 kg. If the load is half the mass of the lorry when empty, what is the total mass of the loaded lorry in tonnes? A. 3.7 B. 5.55 C. 7.4 D. 11.1
8.
A soccer ball is dropped from a height of 240 cm. For every bounce the height decreases by 60%. How high will the ball rise on the second bounce? A. 38.4 cm B. 86.4 cm C. 96 cm D. 144 cm
9.
Which one of the following statements is true? A. A rectangle is a square B. A trapezium is a parallelogram C. A parallelogram is a rectangle D. A rhombus is a parallelogram
10.
What is the value of n in the equation? 5n + 3 (n-4) = 36? A. 8 B. 6 C. 5 D. 3
11.
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
12.
A pupil left home for school at a speed of 5km/h and returned at a speed of 4km/h. The whole journey took 5h 24min. How far is the school from home in kilometres? A. 9 B. 12 C. 24 D. 27
13.
Zainabu bought 5 sacks of carrots for sh. 13 500. Each weighed 90kg. How much should she sell a kilogram of carrot in order to make a profit of 10%? A. sh. 27 B. sh. 30 C. sh. 33 D. sh. 40
14.
A businessman saved Sh. 900 000 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. 1 035 000 B. Sh. 1 170 000 C. Sh. 1 190 250 D. Sh. 2 070 000
15.
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
16.
A field was to be 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. 3 260 B. 3 264 C. 9 780 D. 9 792
17.
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°
18.
A saleslady earns a basic monthly salary of sh 15 000. She also gets a commission of 2% on the value of goods sold above sh 250 000. In a certain month she sold 10 television sets @sh 26000, 5 refrigerators @sh 30000, 10 microwaves @sh 16000, one cooker for sh 84000 and another for sh 52000. How much did she earn that month, altogether? A. sh 29 120 B. sh 24 120 C. sh 20 000 D. sh 9 120
19.
Omondi had two children, Tina and Ahmed. When Tina was born Ahmed was 4 years old, Omondi was m years old while his wife was 5 years younger than him. What was their total age after 10 years? A. 2m+9 B. m+19 C. 2m+ 39 D. 2m + 49
20.
What is the next number in the pattern below?
97
1
2
,
80
1
2
,
67
1
2
,
56
1
2
A.
39
1
2
B.
47
1
2
C.
49
1
2
D.
63
1
2
21.
What is the value of the operation below?
3
3
7
÷
6
7
+
1
2
of 16 -
1
2
÷
1
2
A. 143 B.
62
1
2
C.11 D.
10
135
196
22.
A conference room measures 24m 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 48 000 B. sh 72 000 C. sh 216 000 D. sh 864 000
23.
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? A.
33
1
3
B. 50 min C. 2h 30min D. 3h 20min
24.
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 10min C. 5h 50min D. 5h 20min
25.
What is the sum of the vertices and faces in a triangular pyramid? A. 11 B. 10 C. 8 D. 7
26.
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 1 500 B. sh 11 500 C. sh 13 000 D. sh 36 000
27.
The perimeter of the figure below is 1120 metres. What is the area of the figure in acres? A. 7.59 B. 75.9 C. 759 D. 75 900
28.
The marked price of a wheelbarrow is sh 8600. Abach was given 812% 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 1 333 D. sh 2 064
29.
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 40 500 B. sh 39 150 C. sh 37 800 D. sh 1 350
30.
Mogaka pays sh 300 for his transport, sh400 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
31.
Mwikali collected money in the following denominations: 1. 8 one thousand shillings notes 2. 18 five hundred shillings notes 3. 70 two hundred shillings notes 4. 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
32.
The mean of eight adults is 1m 42cm. The height of six of the adults were recorded as follows: 1. 1m 36cm, 1m 41cm, 1m 52cm, 2. 1m 30cm, 1m 50cm, 1m 37cm The remaining two adults are of equal heights. What is the height of each of the remaining adults? A. 1m 40cm B. 1 m 41cm C. 1 m 43cm D. 1 m 45cm
33.
what is
12
x
+
9
x
y
+
18
y
9
y
in its simplest form? A
.
4
x
+
3
x
y
+
6
y
3
y
B.
12
x
+
x
y
+
18
y
y
C. 13x+2 D. 12x+9xy+2
34.
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 gathered 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. 48
35.
Which one of the following numbers is two million thirty five thousand and eight hundredths? A. 2035800 B. 2035000.08 C. 235000.08 D. 235000.008
36.
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
37.
What is the place value of digit 7 in 16.05 ÷ 15? A. Ones B. Tens C. Tenths D. Hundredths
38.
The figure below represents a farm What is the area of the farm in square metres? A. 2209 B. 2244 C. 2293 D. 2377
39.
Bestee spent his salary as shown in the figure below How much more money does he spend on food than clothes? A. 17 500 B. 14 000 C. 10 500 D. 3 500
40.
A cylindrical water tank has a diameter of 4m and a height of 4.2m. 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
π
=
22
7
) A. 880 B. 440 C. 220 D. 22
41.
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 20 000 B. sh 1666.70 C. sh 1 250 D. sh 200
42.
Abdi bought the following items: 5 loaves of bread @ sh 42 What was his balance if he paid using 3 five hundred shillings notes? A. sh 1309 B. sh 536 C. sh 191 D. sh 31
43.
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 p = 3.14) A. 9.42
m
2
B. 6.28
m
2
C. 4.71
m
2
D. 1.57
m
2
44.
Pendo, Zawadi and Huruma shared a piece of land. Pendo got 0.45 of the land, Zawadi got 0.30 while Huruma got the rest. How large was Pendos share if Huruma got 2 hectares? A. 2.4 B. 3.6 C. 6 D. 8
45.
In the figure below EFGH is a rhombus and FGJ is a triangle. Angle GFJ = 56° and JGH is a straight line. Line JG = line GH. What is the size of angle HEF? A. 68° B. 90° C. 112° D. 124°
46.
A hawker bought sufurias, cups and plates for sh 12 000. A few cups and plates broke during transportation. He sold the remaining items as follows: 1. 40 sufurias at sh 180 each 2. 120 cups at sh 160 per dozen 3. 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%
47.
A man shared his profit of sh 87 000 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 43 500 B. sh 32 625 C. sh 10 875 D. sh 4 350
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