Total Marks Gained for This Page s1

EOS 2000 Print & do

1. Write the following number in words.

8 543 072

2 marks

2. Write the following number using digits.

Four hundred three thousand, thirteen

1 mark

3. What is the place value of 3 in the following numbers?

(a) 1367.28

(b) 21.305

2 marks

4. Use the symbols <, >, or = to complete the following

(a) 2.35 ______2.349

(b) 0.250 ______0.25

(c) 56 490 ______56 409

(a) 3 marks

Total marks gained for this page /8

EOS 2000 Page 1 of 17 M070 5. Round each number as indicated.

(a) 2 737.766 to the nearest hundred

(b) 8 245 to the nearest ten

(c) 13.967 to 1 decimal place

(d) 2534.6789 to the nearest thousandth

4 marks

6. From the numbers 9, 4.7, 2, ½, 1, 5, 11, 23, 60 write down

(a) the negative integers

(b) the positive prime numbers

(c) the multiples of 3

(d) a number which is divisible by 2, 3 and 5 (a) (a)

(a) (a) 4 marks

EOS 2000 Page 2 of 17 M070 7. Find all the factors of 42

2 marks

8. Find the difference between the square of 4 and the cube of 3.

3 marks

9. Evaluate 0.000 23  998 450. Give your answer as an ordinary decimal number.

2 marks

10. Amira moves to a new home. The cost of her new furniture is shown below.

Dining table Dh 5 249 Sofa Set Dh 8 775 Curtains Dh 3 420 Television Dh 1 925 Bedroom set Dh 2 290.50

Estimate the total cost of furnishing Amira’s new home.

3 marks

EOS 2000 Page 3 of 17 M070 11. Evaluate the following

(a) (24 12  3)0

1 mark

87 (b) 0 1 mark

(c) 160  7  6  [ 3  (2)2 ]

3 marks

12. A farmer packs 4000 tomatoes into boxes. Each box holds 36 tomatoes. How many boxes does he need?

3 marks

EOS 2000 Page 4 of 17 M070 13. The number of students in each of the ten colleges of HCT in September 1999 is shown below

1237 1488 735 617 1880 1695 488 475 532 753

(a) Find the average number of students in a college in September 1999.

2 marks

(b) Fujairah Women’s College opened in October 1999. Now, the average number of students in a college is 935. How many students joined Fujairah Women’s College?

2 marks

14. The temperature in Canada changes from 12C during the day to 7C at night. What is the temperature change? Is it a rise or a fall?

2 marks

EOS 2000 Page 5 of 17 M070 15. There are 3.678 Dirhams to 1 US dollar. How many dollars can Ghaneema buy with 2 500 Dirhams?

2 marks

16. Write these fractions as decimals as indicated.

(a) 14 (using bar notation) 11

1 mark

(b) 3 2 (to 3 decimal places) 13

2 marks

17. Express 0.76 as a fraction in its simplest form.

2 marks

18. 3 Write 6 as an improper fraction 8

1 mark

EOS 2000 Page 6 of 17 M070 19. Evaluate the following (leave your answer as a mixed number in its simplest form)

1 1 1 GF3 1 JI1 H3 5K 3

3 marks

7 8 4 20. Write these fractions in ascending order: , , 12 15 7

2 marks

2 21. There are 240 employees in Mahmoud’s company, of them are 3 3 female. Omar’s company employs 220 people, of them are female. 4 Which company has more female employees?

3 marks

EOS 2000 Page 7 of 17 M070 22. Solve these equations.

(a) 5.2x + 4.1  1.9x = 12.2  2.1x

3 marks

(b) 2(2a  3) = 10

3 marks

(c) x  5 x  16 6

(b) (c)

3 marks

EOS 2000 Page 8 of 17 M070 23. Simplify the expression.

3p  q  p(2  p)

2 marks

24. Write each of the following as an algebraic expression and simplify your answer where possible.

(a) 8 subtracted from the product of 3a and b

2 marks

(b) 2r 5t The sum of and (Write your answer with a common 3 7 denominator)

2 marks

EOS 2000 Page 9 of 17 M070 25. Muna buys a car. She pays a deposit of Dh m and makes 24 monthly payments of Dh n each. Write an algebraic expression for the total amount she pays for the car.

1 mark

26. The cost (in Dirhams) of advertising in the Gulf News is calculated using the formula

C = 2w + 10

Where w is the number of words.

(a) Calculate the cost of an advertisement of 25 words.

2 marks

(b) The cost of Salem’s advertisement is Dh70. How many words are in the advertisement?

2 marks

27. A water container holds 36 litres. How many 1½ litre bottles can be filled from the container?

2 marks

EOS 2000 Page 10 of 17 M070 28. 2 Hessa earns Dh10 500 per month. She spends of it on food and 5 1 entertainment and of it on taxi fares. She saves the rest. How much 7 does she save each month?

3 marks

29. Eight less than four times a number is 12. What is the number?

2 marks

30. Khawla is three times as old as her daughter. The difference between their ages is 26 years. How old is Khawla?

3 marks

31. Total marks gained for this page /8

EOS 2000 Page 11 of 17 M070 31. Write the following ratios in their simplest form:

(a) 7.35 to 19.6

2 marks

(b) 5 minutes : 45 seconds

2 marks

32. Out of 112 patients in a hospital, 48 are children, the rest are adults. What is the ratio of adults to children?

3 marks

33. A length of ribbon is cut into two pieces in the ratio 3 : 5. The longer piece is 14.25 metres. How long is the other piece?

3 marks

EOS 2000 Page 12 of 17 M070 34. A model of a dhow is built on the scale of 10 cm to 0.5 m. The model is 88 cm high. What is the height of a real dhow?

3 marks

35. (i) What is 85% of 1260?

1 mark (ii) 70 is what percentage of 40?

1 mark

(iii) 28.7 is 35% of what number?

1 mark

36. A carpet is 75% wool , the rest is silk. What fraction is silk (Give your answer in its simplest form.)

2 marks

EOS 2000 Page 13 of 17 M070 37. There are 16 250 spectators in a stadium watching a football game. They fill 65% of the seats. How many spectators can the stadium hold?

3 marks

38. A plane has 320 seats. On a flight from Dubai to Bangkok 85% of the seats are Non-Smoking. How many seats are in the Smoking section of the plane?

3 marks

39. In a sale, a television is reduced from Dh1440 to Dh960. What is percentage discount?

3 marks

EOS 2000 Page 14 of 17 M070 40. Find the shaded area of the shape below

4 cm 1 cm

3 cm 3 cm

4 marks

3 marks

60 cm 42.

EOS 2000 Page 15 of 17 M070 ANSWERS

1 eight million, five hundred forty-three thousand, seventy-two 2 403 013 3 a hundreds b tenths 4 a > b = c > 5 a 2700 b 8250 c 14.0 d 2534.679

6 a -9, -2 b 5, 11, 23 c 60 d 60 7 1, 2, 3, 6, 7, 14, 21, 42 8 27 – 16 = 11 9 0.000 000 000 230 357 053 10 5000 + 9 000 + 3000 + 2000 + 2000 = Dh 21 000

11 a 1 b undefined c 202 12 112 13 a 990 b 385 14 19oC, fall 15 US$ 679.72

16 a 1.27 b 2.231 19 17 25 51 18 - 8 3 19 1 5 8 4 7 20 , , 15 7 12

21 Mahmoud 160, Omar 165: Omar’s company 3 22 a x  b a  4 c x  3 2 23 p2  p  q 14r 15t 24 a 3ab  8 b 21 25 Dh m  24n

26 a Dh 60 b 30 words 27 24 bottles 28 Dh 4800 29 5 30 39 years 31 a 3 : 8 b 20 : 3 32 4 : 3 33 8.55 m 34 4.4 m

EOS 2000 Page 16 of 17 M070 35 i 1071 ii 175 % iii 82 1 36 4 37 25 000 38 48 seats 1 39 33 % 3 40 34 cm2 41 1993 cm2

EOS 2000 Page 17 of 17 M070