math s1 paper 1 (1)

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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.