2.
3.
4. / Write the following number in words.
14 301 005
______
______
Write the following as a mathematical expression.
8 more than the square of 3
Use your calculator to find the answer to the following.
Bassam receives a monthly salary of Dh 9780. He pays Dh 3750 in rent for his apartment, spends Dh 2200 on food, Dh 300 on bills and Dh 1800 on other expenses. He saves the rest. How much does he save? / 1 mark
2 marks
1 mark
2 marks
Total marks gained for this page / /6
5.
6.
7.
8. / Estimate the sum of 7.19, 2.82, 0.63 and 9.524
A bus has thirty-six seats. How many buses are needed to take a group of eighty-five students and two teachers to the museum?
The distance from Dubai to London is 3406 km. The trip takes 6½ hours by plane. What is the average speed of the plane?
Simplify
/ 2 marks
3 marks
3 marks
3 marks
Total marks gained for this page / /11
9.
10. / The volume of a cone is given by the formula
.
Find the height h of a cone when V = 90 cm and r = 2.8 cm
Using the button on your calculator (or = 3.14 )
Round your answer to 2 decimal places.
Set up an algebraic equation and use it to solve the following problem:
Khalid’s journey to work is 5 km less than twice Ahmed’s journey.
The total of the two journeys is 34 km. How far is Khalid’s journey
to work? / 4 marks
4 marks
Total marks gained for this page / /8
11.
12. / Solve each equation for x
(a)
(b)
Solve the inequality
/ 6 marks
3 marks
Total marks gained for this page / /9
13.
14.
15.
14. / Simplify
Evaluate 9 733 500 0.000 14 . Write your answer as an ordinary decimal number.
Write the following numbers in order from smallest to biggest.
0.6 2.4 2 / 3 marks
2 marks
2 marks
Total marks gained for this page / /7
16.
17. / A plane trip to Paris takes 7½ hours. You have travelled of the way. How much time is left until the plane lands in Paris?
Simplify the following ratios.
(a)48 millilitres to 0.72 litres
(b)6.6 : 1.65 : 3.96 / 3 marks
4 marks
Total marks gained for this page / /7
18.
19.
20. / There are 510 aircraft departures per week from Dubai International Airport. How many departures are there in one year?
0.25% of what number is 36?
In a survey of 250 hotels, 195 charge Dh 300 or more for a room. What percentage have a room for less than Dh 300? / 2 marks
2 marks
3 marks
3 marks
Total marks gained for this page / /7
21.
22. / 56 patients visited a clinic on Saturday. On Sunday the clinic had 63 patients. Find the rate of increase in the number of patients.
The Floppy Computer Company gives HCT students a 16% discount on computers. Nadya paid Dh 3990 for her new computer. What was the price before the discount? / 3 marks
4 marks
Total marks gained for this page / /7
23.
24. / The population of the UAE was expected to grow by 27% from 1996 to 2001. In 1996 the population of the UAE was 2 443 000. Find the expected population in 2001.
In March, Khaleej Furniture store sells 12 dining sets at Dh 6250 each, 5 sofa sets at Dh 4900 each and 15 bookcases at Dh 580 each.
(a)Find the total sales for March.
(b)The store was open for 27 days in March. Find the average sales per day. / 3 marks
3 marks
Total marks gained for this page / /6
25.
26. / In a normal working week Zahra works 42½ hours. She is paid Dh 36 per hour.
Overtime is paid at 1¼ times the normal hourly rate.
The table shows the number of hours Zahra worked in one week.
Saturday8.5
Sunday9
Monday10
Tuesday9.5
Wednesday8.5
(a)Find her normal weekly pay.
(b)Find Zahra’s overtime pay for the given week.
(c)Find Zahra’s gross earnings for the given week.
Musatafa earns Dh 16 250 a month. How much does he earn per week? / 6 marks
3 marks
Total marks gained for this page / /9
27.
28. / Simplify the following expression. Write your answer in positive exponential form.
Simplify the following. Leave your answer as a fraction in its simplest form.
/ 3 marks
4 marks
Total marks gained for this page / /7
29.
30. /
Mariam can type 224 words in 7 minutes. At the same rate, how many words can she type in half an hour? / 5 marks
3 marks
Total marks gained for this page / /8
31.
32. / The Ministry of Health has a research fund of Dh 117 425. It distributes the fund to hospitals in Dubai, Abu Dhabi and Al Ain in the ratio 5 : 4 : 2. Find how much Abu Dhabi receives.
Alya and Hamda each have a party. Alya buys 120 cookies and 75 cakes for Dh 330 and Hamda pays Dh 100 for 40 cookies and 20 cakes. What is the cost of one cake? / 3 marks
4 marks
Total marks gained for this page / /7
33. / Solve the following system of equations by graphing . Use the grid provided.
Clearly label the axes and the lines.
2x + y = 7
x y = 8
The solution is: ______ / 7 marks
Total marks gained for this page / /7
34.
35. / For the line given by the equation
find(a) the slope and
(b) the y-intercept
slope = ______y-intercept = ______
Solve algebraically the following system of equations.
2a + 3b = 9
3a 4b = 29 / 3 marks
4 marks
Total marks gained for this page / /7
36. / Which one of the following inequalities represents the shaded region in the diagram above?
(a) x + 2y 6(b) x + 2y 6
(c) x + 2y 6(d) x + 2y 6
(Circle the correct answer) / 1 mark
Total marks gained for this page / /1
37.
38. / The speed limit on the Abu Dhabi highway is 120 km/h. Write this speed in m/s.
Walid paints the wall around his villa. He walks around the outside of the wall to check the painting.
(a)Find the length, x
(b)Find how far he walks when he checks the painting. / 3 marks
4 marks
Total marks gained for this page / /7
39. / The dimensions of a water tank are shown in the diagram below.
Find
(a)the area of the lid in m2
(b)the volume of water in the tank when it is half full. / 5 marks
Total marks gained for this page / /5
40. / A survey asked 24 students
“How many hours do you sleep each night?”
Their answers were:
6 8 7 9 8 7 6 8 5 7 8 6
5 8 7 8 8 6 8 9 7 8 6 9
(a)Complete the frequency distribution table.
Hours of Sleep Tally Frequency
(b) How many students have at least 7 hours of sleep a night?
(c) What is the range of the number of hours slept each night?
(d)What is the mode for the number of hours slept each night?
(e)Find the median number of hours slept each night?
(f)Find the mean number of hours slept each night? / 9 marks
Total marks gained for this page / /9
41. / The following table gives the number of kilometres travelled in one day by 100 taxis.
Distance travelled Number of
(in km) taxis
0 to 490
50 to 9915
100 to 14925
150 to 19935
200 to 24920
(a) Using the set of axes below, draw a histogram to represent the above data.
(b)Draw a frequency polygon on your histogram. / 6 marks
Total marks gained for this page / /6
42. The graph below shows how students travel to school
(a)What type of graph is this?
(b)What percentage of the students travel to school by car?
(c)What fraction of the students travel to school by bus?
(d)There are 500 students in the school. How many walk to school?
7 marks
Total marks gained for this page /7
43.
(a)What does this graph show?
(b)In which year was the production of oil a minimum?
(c)What was the maximum production of oil?
(d)Between which two consecutive years did oil production remain the same?
(e)By how much did oil production fall between 1979 and 1983?
7 marks
Total marks gained for this page /7
ANSWERS
1Fourteen million, three hundred (and) one thousand (and) five
2
36
4Dh 1730
521
63 busses
7524 km/h
8
910.97 cm
1021 km
11a b
12
13
1469 525 000 000
15 -2.40.6
162 hours
17a 1 : 15b20 : 5 : 12
1826 520 departures
1914 400
2022 %
2112.5 %
22Dh 4750
233 102 610
24a Dh 108 200bDh 4007
25a Dh 1530bDh 135cDh 1665
26Dh 3750
27
28
29Dh 175
30960 words
31Dh 42 700
32Dh 2
33(5,-3)
34slope = y-intercept = 3
35
36d
37 m/s
38a 6.6 mb59 m
39a 0.9 m2b1.08 m3
40a
5 / II / 26 / IIII / 5
7 / IIII / 5
8 / IIII IIII / 9
9 / III / 3
b17 c 5 to 9 d 8 hours e 7.5 hours f7.25 hours
41
42apie graph or pie chart
b34 %
c
d50
42a Gulf States Crude Oil Production
b1985
c22 million barrels per day
d1987 to 1988
e11 million barrels per day
b
Page 1 of 22
Math 0070 Exit Exam
General Paper B