math s1 paper 1 (1)
TRANSCRIPT
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Calculator Allowed
Date: Time Allowed: 1 Hour
Instructions:
Write your NAME and TEACHER below Show all necessary working out Write clearly in Black or Blue ink Draw graphs and diagrams in pencil Do NOT use liquid paper
Name: Teacher:..
Marks:
Question 1 2 3 4 5 6 7 8 9 10
Mark
Question 11 12 13 14 15 16 17 18 19 20
Mark
Question 21 22 23 24 25
Mark
____
20
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1. Work out.a)
Answer: ________________[2]
b)
Answer: ________________[2]
2. Work out.c) 318.6 20.81
Answer: ________________[2]
d) 9.3 7.85
Answer: ________________[2]
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3. Find the Highest Common Factor (HCF) of the following numbers: 18, 96
Answer: ________________[2]
4. Find the Lowest Common Multiple (LCM) of the following numbers: 18,24, 28.
Answer: ________________[2]
5. Expand and simplify:a) 4a(5a2b)
Answer: ________________[2]
b) (2x9)(x + 2)
Answer: ________________[2]
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6. Find the area of a circle with a radius 5cm. Take as 3.14
Answer: ________________ cm2
[3]
7. Calculate the values of:
a) (-6)4 = ____ b) (-2) + (-5) = ____
c) -14 7 = ____ d) -5 (-6) = ____
e) 6 52
= ____ f) 3 2 + 4 5 = ____
g) 5 (-3)3=
____ h) (3 - 4 2)
2= ____
[1 ,1 ,1, 1, 1, 2, 2, 2]
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8. If a = 3, b = 2 and c = -5 find the value of these expressions:
a) a3
- c2
Answer:=______ [2]
b)
Answer:=______ [2]
c)
Answer:=______ [2]
9. Convert each of the following.
a) 4m Answer: _______cm [1]
b) 6.25 hours Answer: _______min [1]
c) 2.5m2
Answer: _______cm2
[1]
d) 150g Answer: _______kg [1]
e) 36 km/h Answer: _______m/s [1]
a) 80ml Answer: _______litres [1]
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10. Solve
a) 4x = 5 + 2x b) 2(x + 3) = 18
Answer : x = _______ Answer : x = _______ [3, 3]
c) 9x = 75 (3x)
Answer : x = _______ [4]
11. On the number line below show the inequality: x -2
[2]
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12. Solve:
a) 2x + 3 < 21 b) 18 + 7x > 2x + 8
Ansewr: _____________ Ansewr: _____________ [2, 3]
13. A box of 60 coloured balloons contains the following numbers of
balloons of each colour.
Colour Red Yellow Green Blue White
No. of balloons 16 22 10 7 5
Draw a pie chart to represent the information given above. [4]
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14. A trip to China was advertised by 20 travel agencies. Their all inclusive
package costs (S/.) for 6 days were:
17380, 17401, 17428, 17384, 17412, 17424, 17413, 17388, 17395, 17395,
17382, 17411, 17425, 17422, 17424, 17398, 17402, 17396, 17414, 17428
Draw a stem and leaf diagram to present these results.
[4]
15. A group of 50 pupils took a test and their marks were as follows:
marks 5-7 8-10 11-13 14-16 17-19 20-22
frecuency 3 8 9 13 9 8
Complete the cumulative frequency table below
marks < 5 < 8 < 11 < 14 < 17 < 20 22
Cum.freq. 0 3 11
[2]
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16. A small group of members of the Stamp & Money Collection Club were
asked about the money they got in their safety boxes. Their answers were:
Draw a scatter graph and describe the type of correlation of the information
given.
[3]
17. Given that four angles of a pentagon are 73, 140, 72 and 89. Find
the size of the missing angle.
Answer: _______________________ [3]
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18. Find the angle x.
Answer: _______________________
[2]
19. Find the volume of the cuboid. Length 15cm, width 6cm, height 1.8cm
Answer: _______________________
[3]
20. What is the gradient of the line joining the points A (2, 12) and B (-2, -4)
A(2, 12)
B(-2, -4)
Answer: _______________________
[2]
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21. Give the straight line equation of the line drawn below in the form:
y = mx + c
Answer: _______________________
[3]
22. Simplify the following:
a) 8h6h = b) d2 + 2d2 =
c) 3s 4s = d) 2w w =
e) h
h +
h = f) 2m 5f 2m f =
[1, 1, 1, 1, 2, 2]
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23. Simplify the following:
a) A2 a3 = b) m5 m5 =
c) 5k 8k2
= d) (6r)2
=
e) ( )3
=
[1, 1, 1, 1, 2]
24. Draw the following lines on the grid below and label them:
(a) y = 2x (b) y = 82x
Graphs (a) and (b) intersect at the point ( , ) [1]
x
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25. State whether the statement is true (T) or false (F) according to the
Venns diagram shown below.