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2. Simplify each
(a)
(b)
(Total 4 marks)
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3. A man left home at 12 noon to go for a cycle ride. The travel graph represents part of the
mans journey.
At 12.45pm the man stopped for a rest.
(a) For how many minutes did he rest?
(b) Find his distance from home at 1.30pm.
The man stopped for another rest at 2 pm. He rested for one hour. Then he cycled home at a
steady speed. It took him 2 hours.
(c) Complete the travel graph.
(Total 4 marks)
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4.
Find the first, second (median), third quartiles and the IQR.
102, 78, 312, 170, 250, 40, 52, 38, 125
Q1 :
Q2 :
Q3 :
IQR:
(Total 7 marks)
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5. (a) The electric current I, in amperes, in a circuit varies directly as the voltage V. When 12
volts are applied, the current is 4 amperes. What is the current when 18 volts are applied?
(b) If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?
(Total 6 marks)
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6. m is an integer such that2.5 < m < 3.5
(a) Write down all the possible values of m.
(b) Solve 79 < 3+ 4
(Total 4 marks)
7
Rewrite the following as single exponent using exponent rules
(Total 2 marks)
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8.
Point O is the centre of the circle. Determine the values of y and z.
(Total 4 marks)
9. For the following triangle, draw accurately the perpendicular bisector of side AC and angle
bisector of ABC
(Total 3 marks)
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10. 100 people were asked if they liked Math, Science, or Social Studies. Everyone answered
that they liked at least one. 56 like Math. 43 like Science. 35 like Social Studies. 18 like Math
and Science. 10 like Science and Social Studies. 12 like Math and Social Studies. 6 like all
three subjects
(i) Complete the above Venn diagram.
(ii) How many people like Math only? _____
(iii) How many people like Science only? _____
(iv) How many people like Social Studies only? _____
(Total 6 marks)
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11.
ABCDE and HIJKL are regular pentagons and AEFGHL is a regular hexagon. ABKL is an
isosceles trapezium with ABK =LKB.
Find ABK
(Total 5 marks)
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12.
The grouped frequency table shows information about the weekly wages of 80 factory workers.
(a)Complete the cumulative frequency table.
(b) On the following grid, draw a cumulative frequency graph for your table.
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(c) Use your graph to find an estimate for the interquartile range.
(d) Use your graph to find an estimate for the number of workers with a weekly wage
of more than 530
(Total 10 marks)
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13.
(i) Rotate the triangle JLZ counterclockwise 900with the origin as the centre of rotation
(ii) Reflect this triangle in the line y=0
(Total 3 marks)
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14.
There are two classes, A and B.
Class Number of pupils Mean math mark out of
100
A 10 65
B 15 70
These two classes are to be combined to form class C.
Class Number of pupils Mean Math mark out of
100
C 25 ?
What is the mean Math mark for class C?
(Total 3 marks)
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15. Complete the table of values for y = 2+ 3
4 3 2 1 0 1 2
y 9 1 3 3
(i)
(ii) Use your graph to solve the equation 2+ 3 =0
(Total 6 marks)
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16.
ABCis a right-angled triangle.
AC= 6 cm
AB = 13 cm
(a)Work out the length ofBC. Give your answer correct to 3 significant figures.
PQRis a right-angled triangle.PR= 17 cm.PQ= 25 cm.
(b) Work out the size of angleRPQ.
Give your answer correct to 1 decimal place.
(Total 5 marks)
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17. The two spinners shown in the diagram are spun at the same time:
(i) Draw a table to show all possible outcomes, and the total score for each outcome.
(ii) How many differentoutcomes are there?
(iii) What is the probability of obtaining a score of 6?
(iv) What is the probability of obtaining a score less than 5?
(v) What is the probability of obtaining a score of 10?
(vi) What is the probability of obtaining a score which is a prime number?
(Total 7 marks)
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18. Consider the following inequalities
(i) Draw the straight lines associated with the above inequalities.
(ii) Show the region satisfied by the inequalities by shading the unwanted regions
(Total 4 marks)
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19. Solve each of the following:
(a)
h+
=
h
(b)
(Total 6 marks)
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20. ={ a,b,c,f,p,q,r,s,t,u,v,w}
A={p,a,u,v,s,t}
B={a,b,c,u,s}
Use the above information to answer the following questions:
(i) List AB
(ii) List AB
(iii) n(A)
(iv) n(AB)
(Total 6 marks)
TOTAL FOR PAPER: 100 MARKS
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