2.
3. / Use your calculator to find the answer to the following
11.7 is 15% of what number?
325 people are booked for a trip to Oman. A tour bus seats 45 people. How many buses are needed for the trip? / 1 mark
2 marks
3 marks
4.
5. / Simplify
Amel and Hanan each have a chocolate bar. Amel eats of the chocolate bar and Hanan eats . Who eats more chocolate? (Show your working.) / 2 marks
2 marks
6.
7. / A plane flies at 957.6 kilometres per hour. What is this speed in
metres per second?
Fifty-one out of seventy-five students went to the science museum.
What percentage did not go? / 3 marks
3 marks
3 marks
8. / Write the following ratios in their simplest form.
(a) 1.05 : 0.6
(b) : :
(c) 2 days : 18 hours / 6 marks
9. Find the perimeter of the shape below.
3 marks
10. Marwa needs 225 grams of flour to make 24 cookies. She has 1.5 kilograms of flour. How many cookies can she make?
3 marks
11. / A cinema showed a film for three days on Tuesday, Wednesday and Thursday. The cinema seats 360 people. On Tuesday of the seats were sold.On Wednesday 80% of the seats were sold. On Thursday the cinema was full.
(a) How many people went to see the film on Tuesday?
(b) How many people went to see the film on Wednesday?
(c) The seats cost Dh 25 each. How much money does the cinema take in
total for the three nights? / 7 marks
12. In the shape below, the diameter of the outer circle is 12 m and the diameter of the inner circle is 5 m. Find the area of the shaded region. Give your answer to the nearest m2.
5 marks
13. Light travels at 300 million metres per second. How long (in seconds) does
it take for light to travel 0.06 metres? Give your answer as an ordinary
decimal number.
3 marks
14.15. / During one week, Badour recorded how much liquid she drank. She drank 16 glasses of water at 250 mL each, 6 bottles of Coke at 425 mL each, and 1 cup of coffee at 210 mL. What was her average drink size? Give you answer to the nearest mL.
A new car costs Dh 67 000. It decreases in value by 13% per year. What is the value of the car after one year?
/ 5 marks
3 marks
16.
17. / Simplify the following, leaving your answer in positive exponential form.
Simplify the following. Leave your answer as a fraction in its simplest form.
/ 4 marks
4 marks
18. / Solve the following equations, for the given variable.
(a) 2x - 3 - 7x = 9 - x - 2
(b) 1.2g + 0.3 = 0.5 - 0.8 (0.3 - g)
(c) / 10 marks
19. / Masoud is an assistant manager at a bank. In a normal working week he works 38 hours. He is paid Dh 42.50 per hour. Overtime is paid at 1½ times the normal hourly rate.
The table shows how many hours he worked in one week.
(a) Calculate the overtime rate of pay.
(b) Find his overtime pay for the week.
(c) Find Masoud’s total pay for the week given. / 8 marks
4 marks
20.
21. / A workload of 48 hours is shared between three employees, Anwar, Saqr and Omar in the ratio of 7 : 12 : 5 respectively. How many hours does Omar work?
Ahmed received his electricity bills for July and August. The bill for August is
Dh 110 more than twice the amount for July. The total for the two months is
Dh 1670. How much is the August bill?
/ 3 marks
5 marks
22.
For the line in the graph above, find the following
(a) slope
(b) y-intercept
(c) the equation of the line.
5 marks
23.24. / Solve algebraically the following system of equations.
-2x + 7y = 2
3x - 5y = -14
Saeed sold his apartment for Dh 474 000. This was an increase of 20% on the price he paid for it. How much did he pay for the apartment?
/ 5 marks
3 marks
25.
26. / To get a bonus Majed must sell an average of 15 cars per month in the first half of the year. The table below shows his sales for January to June.
How many cars must he sell in June in order to get his bonus?
Amna buys one bath towel and two hand towels for Dh 132. Haleema buys
2 bath towels and 3 hand towels for Dh 229. Find the cost of a bath towel. / 3 marks
5 marks
27. / Using the grid below, draw the graph of the line whose equation is
x - 2y = 6 / 5 marks
4 marks
28. / The monthly salaries, in dirhams, of the employees at a company are as follows:
9600 8800 8850 9300 8850 9100 9600 9950 8850 9250
(a) Find the median salary.
(b) Calculate the mean salary.
(c) What is the mode for this set of data? / 6 marks
29. / A music shop sells CDs and tapes. One CD costs Dh 45 and a tape costs Dh 12.
In one week the shop sold 310 items for a total of Dh 6591. How many tapes did the shop sell?
/ 5 marks
4 marks
30.
The shares of 300 employees of Yoto Mobiles are not shown on the graph.
They have between 2000 and 2499 shares each.
(a) On the graph above, draw the bar for these 300 employees.
(b) How many shareholders have at least 2500 shares?
(c) How many shareholders have between 1000 and 2000 shares?
(d) What is the total number of shareholders?
(e) What percentage of the shareholders have less than 1000 shares?
(Give your answer to the nearest whole number)
9 marks
31.
(a) Which was the first month that Income was greater than Expenses?
(b) What was the Income for July?
(c) Profit is the difference between Income and Expenses.
Find the profit for November
(d) In which month was the profit zero, 0?
(e) Calculate the percentage change in Income from June to October.
8 marks
32.
Use the pie chart above to answer the following questions.
(a) From which region of the world are most government employees?
(b) What percentage of the government employees are from Asian countries?
(c) The total number of government employees in the UAE is 62 000.
How many UAE Nationals work for the government?
(d) What fraction of government employees are from the UAE and the
Gulf States? (Give your answer in its simplest form.)
7 marks
ANSWERS
1 -2.5
2 78
3 8 buses
4
5 . They eat the same amount.
6 266 m/s
7 32 %
8 a) 7 : 4 b) 12 : 8 : 5 c) 8 : 3
9 35.6 m
10 160 cookies
11 a) 240 b) 288 c) Dh 22 200
12 93 m2
13 0.000 000 000 2 seconds
14 294 mL
15 Dh 58 290
16
17
18 a) b) c)
19 a) Dh 63.75 b) Dh 701.25 c) Dh 2316.25
20 10 hours
21 Dh 1150
22 a) b) -4 c)
23
24 Dh 395 000
25 23 cars
26 Dh 62
27
28 a) Dh 9175
b) Dh 9215
c) Dh 8850
29 223 tapes
30 b) 1650 c) 2000 d) 5500 e) 28 %
31 a) April b) Dh 180 000 c) Dh 50 000 d) September e) 18 %
32 a) Asian countries b) 45 % c) 17 980 d)
Page 22 of 21
Math 0070 Exit Exam 2001
General Paper A