Chapter 1 Working with numberspages 17 - 37

WORKING WITH NUMBERSEXERCISE 1ADiscuss what you need to know and be able to do to answer these questions.

1. Why do you think the distance of Venus from the Sun is written as 108 x 106 km whereas the distance of Earth from the Sun is written as 149 600 000 km ?_______________________________________________________________________________________________________________________________________________________________________________

2. The time it takes light to travel 1 km is given as 3.335 609 x 10-6 seconds. Is this a large or a small number?

_______________________________

17a3. Which planet is further from the sun, Earth or Venus?

___________________________

4. How long does it take for light from the Sun to reach Venus?

________________________________

EXERCISE 1 BFind the value of

1. 41 __________________________2. 53__________________________3. 103__________________________4. 27__________________________5. 101__________________________17b/18a6. 106__________________________7. 1.22__________________________8. 1.12__________________________9. 7.2 x 103 _________________________10. 8.93 x 102______________________11. 6.5 x 104 _________________________12. 3.82 x 103_______________________13. 2.75x101 ________________________14. 5.37 x 105 _______________________15. 4.63 x 101 ________________________16. 5.032 x 102 _______________________

18b17. 7.09 x 102 _______________________18. Write these numbers as powers of 10.a. 100 _________________________b. 1000 _________________________c. 1000 000 _________________________d. 10 000 000 000 ____________________

19. a. Use the information at the beginning of this chapter to write down,as an ordinary number, the distance of Venus from the Sun.

_________________________

b. Now answer question 3 in Exercise 1A.

18c20. Why do you think that the mass of the Sun is written in the form 1.9 x 1030 kg and not as an ordinary number?

_________________________________________________________________________________________________________

21. The mass of the Earth is 5.98 x 1024 kg. How many tonnes is this?

_____________________________

22. A satellite is orbiting Earth at constant speed so that it travels2.8 x 104 kilometres each hour. How far does it travel in one year, that is, in 8.76 x 103 hours ?

19aEXERCISE 1C

1. 35 x 32 _________________________2. 75 x 73 _________________________3. 92 x 98 _________________________4. 22 x 27 _________________________5. 104 x 103 ________________________6. b3 x b2 _________________________7. 54 x 54 _________________________8. 124 x 125 ________________________9. 109 x 108 ________________________10. p6 x p8 _________________________

EXERCISE 2C1. Two bags each contain 3 white counters and 2 black counters. One counter is removed at random from each bag. Copy and complete the following possibility space for the possible combinations of the two counters.

1st bag( , ) ( , ) ( , ) ( , ) ( , ) ( , ) 2nd bag

2. An ordinary six-sided dice is tossed and a 10p coin is tossed. Copy and complete the following possibility space.

Dice1 2 3 4 5 6

43b(T, 4)(H, 2)H

T

10p coin

4. A top like the one in the diagram is spun twice. Copy and complete the possibility space.

1 2 3

12nd spin

2 3

44b33. Place +, -, x, or in the space to make these calculations correct.

a. =

b. =

c. = 1

61g34. Place < or > between each pair of calculations.

a. 5 x 5 x 2

b. 3 x 3

35. The formula v = u + at is used in physics.Find the value of v when

u = , a = and t = 1 .

______________________________61hEXERCISE 6CIn each case find the size of the marked angle( s ).

1.

1600

p0

1400

p0 = ______________________

118a2.

700

p0

1100

p0 = ______________________

118b

13. Find ACp01300650

p03700600

43C

71 cm

98 cmAB

14. Find PR

R

P

37 cm

25 cm

Q

400a

Copyright

PART WORK: includes Chapters 1 to 13 and Chapters 17, 19, 21 and 22.

STP National Curriculum Mathematics Revised Pupil Book 8A

by L Bostock, A Shepherd, F S Chandler and Ewart Smith

Publisher Nelson Thornes; New edition (31 May 1996)ISBN 10: 0748724400ISBN 13: 9780748724406This adapted version (sections of and/or complete book) mentioned above has been created under the terms of the CLA Print Disability Licensing Scheme to be used only by a print-disabled person. Except as permitted by law, it may not be further copied, nor may it be supplied to any other person, without permission.