Q1
A football club have experienced a large influx of money from their sponsors.
1(a) The board of directors decide to expand the stadium capacity by 7250 seats from 5000 seats.
What will be the new capacity of the stadium?
Answer type: simple
ANSWER: 12250
Workings:
5000+ 7250=122501 mark
1(b) After a change of plans, they decide to add only 6500 new seats.
They use the remaining funds to add a new VIP area which can hold up to 112 special guests.
What will be the new capacity of the stadium, including both the new seats and the VIP area.
Answer type: simple
ANSWER: 11612
Workings:
5000+6500+112=116121 mark
1(c) The sponsors suddenly decide to fund only part of the expansion, so the club must find a new way to pay for the expansion of the stadium.
The board of directors decide to increase the ticket price from £12.49 to £44.30.
What is the difference in ticket prices?
Answer type: simple
ANSWER (£): 31.81
Workings:
44.30-12.49=31.811 mark
Q2
Jess is a runner and competes in 400 m races.
2(a) Her best time is 56.12 seconds.
She beats this time by 1.48 seconds.
What is her new personal record?
Give your answer to 2 decimal places.
Answer type: simple
ANSWER: 54.64 (s)
Workings:
56.12-1.48=54.641 mark
2(b) The following week, she runs in another race.
On this occasion, her time is 2.80 seconds slower than her record.
How long did she take to complete the race?
Give your answer to 2 decimal places.
Answer type: simple
ANSWER: 57.44 (s)
Workings:
54.64+2.80=57.441 mark
2(c) She runs another 400 m race.
She wins the race and finishes 3.50 seconds faster than the person with the slowest time.
If her time is 55.23 seconds, what is the time of the slowest runner?
Give your answer to 2 decimal places.
Answer type: simple
ANSWER: 58.73 (s)
Workings:
55.23+3.5=58.731 mark
Q3
Howard is trying to keep track of his finances.
3(a)
He wants to withdraw some money from his bank account.
The original amount in his account is £1560.87
How much money will he have left if he withdraws 150.00?
Answer type: Simple
ANSWER (£): 1410.87
Workings:
1560.87-150=1410.871 mark
3(b) The following week, Howard receives his pay-check.
He deposits £125 into his bank account.
How much money does he now have in his account?
Answer type: Simple
ANSWER (£): 1535.87
Workings:
1410.87+125=1535.871 mark
3(c) Three days after he deposits the money, his monthly rent is paid out of his account.
If his monthly rent costs £480.55, how much money will be left in his bank account?
Answer type: Simple
ANSWER (£): 1055.32
Workings:
1535.87-480.55=1055.321 mark
Q4
Ranjit is going to the shop to pick up some groceries.
He buys a six-pack of eggs for £1.20, a tin of beans for 49\text{p} and three-pack of chicken breasts for £3.15
How much change will he receive if he pays with a £5 note?
Give your answer in £
Answer type: simple
ANSWER: 0.16
Workings:
1.20+0.49+3.15=4.84
5-4.84=0.16
3 marks
Q5
Robert is playing darts.
The aim is to score a total of 501 points in as few throws as possible.
Each turn is made up of three throws.
5(a) On his first turn, Robert scores a total of 26 points
What is his remaining score after his first turn?
Answer type: Simple
ANSWER: 475
Workings:
501-26=4751 mark
5(b) On his second turn, Robert’s three throws score 60 points, 3 points and 15 points.
Calculate his total score for this turn.
Answer type: simple
ANSWER: 78
Workings;
60+3+15=781 mark
5(c) What is Robert’s remaining score after his second turn?
Answer type: simple
ANSWER: 397
Workings:
475-78=3971 mark
5(d) Robert’s opponent, Patrick, is a much better darts player.
On Patrick’s first turn, he scores 121 points.
Using your answer from part(a), what is the difference in remaining score between Robert and Patrick after their first turns?
Answer type: simple
Answer: 95
Workings:
Roberts remaining score after his first turn is 475 points
Patrick has scored 121 points so his remaining score is 501-121=380 points
The difference is 475-380=95 points
2 marks
Q6
Mark is a chemist. He wants to find out how much of each chemical is used up in his reaction.
6(a)
He measures out 1.622 g of iron chloride.
After the reaction, there is 0.113 g of iron chloride remaining.
How much iron chloride was used up in the reaction.
Give your answer to 3 decimal places.
Answer type: simple
ANSWER: 1.509 (g)
Workings:
1.113=1.5092 marks
6(b) Mark’s second reaction requires him to use 2 g of aluminium.
He only has 1.254 g in his personal supply, so he borrows 0.800 g from a colleague.
He spills 0.034 g of aluminium whilst weighing it out.
Calculate how much aluminium he has left.
Give your answer to 3 decimal places.
Answer type: simple
ANSWER: 2.020 (g)
Workings:
1.254+0.800-0.034=2.0202 marks
6(c) Does mark have enough aluminium for his second reaction?
Use your answer from part (b)
Answer type: multiple choice
ANSWER: Yes
Wrong answer: No
Workings:
He has 2.020 g
1 mark