Countdown to your final Maths exam …
Part 12 (2017)
Marks
Q1. Probability from a table
4
Q2. Probability from a table
6
Q3. Probability tree diagrams
4
Q4. Probability tree diagrams
5
Q5. Probability tree diagrams
8
Q6. Plans and elevations
4
Q7. Plans and elevations
2
Q8. Estimation
3
Q9. Estimation
2
Q10. Angle Facts
4
Q11. Angle Facts
4
Q12. Angle Facts
4
Q13. Angle Facts
4
Q14. Angle Facts
4
Q15. Angle Facts
3
61
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Actual
Questions
Q1. An electronic game can show red or blue or green or yellow.
The table shows the probabilities that the colour shown will be red or will be green or will be yellow.
Arthur plays the game.
(a) Work out the probability that the colour shown will be blue.
........................................................... (2)
Janice is going to play the game 50 times.
(b) Work out an estimate for the number of times the colour shown will be yellow.
...........................................................(2)
(Total for question = 4 marks)
Q2. Mary plays a game of throwing a ball at a target.
The table shows information about the probability of each possible score.
Score
Probabilit
y
0
1
2
3
4
6
0.09
x
3x
0.16
0.21
0.30
Mary is 3 times as likely to score 2 points than to score 1 point.
(a) Work out the value of x.
(3)
Mary plays the game twice.
(b) Work out the probability of Mary scoring a total of 8
(3)
(Total for Question is 6 marks)
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Q3. Event A and event B are independent events.
The probability that event A will happen is 0.3
The probability that event B will happen is 0.6
(a) Complete the probability tree diagram.
(2)
(b) Work out the probability that either event A will happen or event B will happen but not both.
...........................................................(2)
(Total for Question is 4 marks)
Q4. There are 10 socks in a drawer.
7 of the socks are brown.
3 of the socks are grey.
Bevan takes at random two socks from the drawer at the same time.
(a) Complete the probability tree diagram.
(2)
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(b) Work out the probability that Bevan takes two socks of the same colour.
. . . . . . . . . . . . . . . . . . . . . . (3)
(Total for Question is 5 marks)
Q5. There are 8 counters in a box.
The letter A is on 6 of the counters.
The letter B is on the other 2 counters.
Sally takes at random a counter from the box.
She keeps the counter.
Then Tina takes at random a counter from the box.
(a) Complete the probability tree diagram.
Sally
Tina
(3)
(b) Work out the probability that both Sally and Tina take a counter with the letter A on it.
........................................................... (2)
(c) Work out the probability that at least one counter with the letter A on it is taken.
........................................................... (3)
(Total for question = 8 marks)
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Q6. The diagram shows the front elevation and the side elevation of a prism.
(a) On the grid, draw a plan of this prism.
(2)
(b) In the space below, draw a sketch of this prism.
(2)
(Total for Question is 4 marks)
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Q7. Here is a solid prism.
On the grid, draw an accurate side elevation of the solid prism from the direction of the arrow.
(Total for Question is 2 marks)
Q8. A ticket for a seat at a school play costs £2.95
There are 21 rows of seats.
There are 39 seats in each row.
The school will sell all the tickets.
Work out an estimate for the total money the school will get.
£......................
(Total for Question is 3 marks)
Q9.
Work out an estimate for the value of
...........................................................
(Total for Question is 2 marks)
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Q10.
APB is parallel to CTRD.
PQRT is a quadrilateral.
Work out the size of the angle marked x.
You must show your working.
........................................................... °
(Total for question = 4 marks)
Q11. BCD and ABD are isosceles triangles.
AB = AD
BC = BD
AD is parallel to BC.
Work out the size of angle y.
You must give reasons for your answer.
(Total for question = 4 marks)
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Q12.
Triangle ABC is a right-angled triangle.
ADB is a straight line.
DA = DC
Angle BCD = 20°
Work out the size of the angle marked x.
You must give reasons for each stage of your working.
(Total for Question is 4 marks)
Q13. The diagram shows a pentagon ABCDE.
AE is parallel to BC.
BA is parallel to DE.
Angle EDC = 64°
Angle BAE = 140°
Work out the size of the angle marked x.
You must give reasons for your answer.
(Total for question = 4 marks)
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Q14.
ABCD and EFG are parallel lines.
BC = CF
Angle BFE = 70°
Work out the size of the angle marked x.
Give reasons for each stage of your working.
(Total for question = 4 marks)
Q15. The diagram shows two regular shapes.
Work out the size of the angle marked x.
(Total for Question is 3 marks)
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