Numbers, Operations and Relationships - Term 1

Question 1

Write 3 654 765 in words.

Answer 1

Three million, six hundred and fifty-four thousand, seven hundred and sixty-five.

Question 2

Write in digits: seven million, two hundred and eighty-three thousand and twelve.

Answer 2

7 283 012

Question 3

Fill in >, < or =

a) 276 004 125 ? 277 455 887
b) 60 thousand ? 600 000
c) 800 000 000 ? 6 thousand + 80 million

Answer 3

a) <
b) <
c) >

Question 4

There are 2 657 234 people in Sparta and 4 567 923 people in Troy.

a) How many people live in Sparta and Troy together?
b) Which city has the greater population?
c) How many more people live in the larger city than the smaller city?

Answer 4

a) 7 225 157
b) Troy
c) 1 910 689

Question 5

Rearrange the digits in the number 1 787 064:

a) to make the biggest seven-digit number; and
b) the smallest seven-digit number

Answer 5

a) 8 776 410

b) 0 146 778

Question 6

Use the expanded vertical method to add 65 983 to 15 118.

Answer 6

65 983 = 60000 + 5000 + 900 + 80 + 3
15 118 = 10000 + 5000 + 100 + 10 + 8
————————————————————
= 70000 + 10000 + 1000 + 90 + 11
= 80000 + 1000 + 100 + 1
= 81 101

Question 7

Use the vertical column method to add 44 569 to 23 129.

Answer 7

44 569
23 129
———–
67 698

Question 8

Use the expanded vertical method to subtract 18 765 from 65 983.

Answer 8

65 983 = 60000 + 5000 + 900 + 80 + 3
18 765 = 10000 + 8000 + 700 + 60 + 5
———————————————————-
40000 + 7000 + 200 + 10 + 8
= 47 218

Question 9

Use the vertical column method to subtract 23 129 from 44 569.

Answer 9

44 568
23 129
———-
21 439

Question 10

Which of these are

a) proper fractions
b) improper fractions
c) mixed numbers

(think of “/” as meaning over, as in 1/2 is a half)

2/8 ; 1/6 ; 1 2/3 (1 and 2 thirds); 5/4 ; 2 4/5 ; 8/9 ; 9/8

Answer 10

a) 2/8 1/6 /8/9
b) 5/4 9/8
c) 1 2/3; 2 4/5

Question 11

Convert 9/7 to a mixed number

Answer 11

1 2/7 (1 and 2 sevenths)

Question 12

Convert 1 4/5 (1 and 4 fifths) to an improper fraction

Answer 12

9/5

Question 13

Give an equivalent fraction for 2/8

Answer 13

1/4

Question 14

Give an equivalent fraction for 3/9

Answer 14

1/3

Question 15

Give an equivalent fraction for 5/10

Answer 15

1/2

Question 16

Arrange from smallest to largest:

2/3; 1/4; 7/10; 6/7

Answer 16

1/4; 2/3; 7/10; 6/7

Question 17

Write 4/8 in its simplest form

Answer 17

1/2

Question 18

Add 2 1/7 to 3 2/7.

Answer 18

5 3/7

Question 19

Add 3 5/8 to 1 5/8

Answer 19

4 10/8
= 5 2/8
= 5 1/4

Question 20

Count in 6s from 6 to 36

Answer 20

6 12 18 24 30 36

Question 21

Count backwards in 7s from 49 to 21

Answer 21

49 42 35 28 21

Question 22

Express 3/5 as a decimal fraction and as a percentage

Answer 22

0,6 = 60%

Question 23

Express 2/10 as a decimal fraction and as a percentage

Answer 23

0,2 = 20%

Question 24

1/2 + 1/6 =

Answer 24

4/6 = 2/3

Question 25

1/2 - 1/3

Answer 25

3/6 - 2/6 = 1/6

Question 26

12 / 7 (12 divide by seven) =

Answer 26

1 5/12

Question 27

90% of 300 =

Answer 27

270

Question 28

7/10 of 100 =

Answer 28

70

Question 29

What is the remainder if 297 345 is divided by 156?

Answer 29

9

Question 30

125 x ? = 6250

Answer 30

50

Question 31

Pinehurst has 444 learners, all of whom need to be transported to the quadrangular frisbee tournament. The school rents buses that can each transport 37 learners. How many buses are required?

Answer 31

444/37 = 12

Question 32

Add the next two numbers to this pattern:

3;6;9;12;15

Answer 32

18;21

Question 33

Add the next two numbers to this pattern:

3;15;6;30;18;90;

Answer 33

54;270

Question 34

Add the next two numbers to this pattern:

1;1;2;3;5;8

Answer 34

13;21

Question 35

Add the next two numbers to this pattern:

1;5;10;16;23;

Answer 35

31;40

Question 36

There are 360 learners at Hogwarts. 4/9 are girls.

a) What fraction are boys?
b) How many boys and girls are there at Hogwarts?
c) How many more boys are there than girls?
d) Is Jacob Zuma a muggle?

Answer 36

a) 5/9
b) 200 boys and 160 girls
c) 40 more boys
d) Eish

Question 37

A boy has climbed 3/8 of the way up a climbing route.

a) If he is 6m up, how high is the top of the route?
b) Around the corner is a route that is 1 1/4 times as high as the first route. How high is this route?
c) How high is the cliff over which Jacob Zuma is dangling?

Answer 37

a) 3/8 = 6m so 1/8 = 2m
so 8/8 = 16m
b) 16 + 1/4 * 16 = 16 + 4
= 20m
c) Eish

Question 38

A boy buys a McFlurry for each of his 5 friends. He buys some plain and some chocolate McFlurries. 3/5 are plain? How many are chocolate?
How many McFlurries are floating in the Zuma fire pool?

Answer 38

2/5 * 5 = 2

Eish

Question 39

What is the value of the 3 in 3 111 222?

Answer 39

3 million

Question 40

What is the value of the 5 in eleventy million?

Answer 40

Eish

Question 41

In which place is the 2 in 1 234 567

Answer 41

Hundred Thousands

Question 42

Round to the nearest hundred:

a) 123 456
b) 55
c) 21
d) 1 456 911

Answer 42

a) 123 500
b) 100
c) 0
d) 1 456 900

Question 43

Round these to the nearest whole unit:

a) 76,23 kg
b) 27,5 m
c) 19,81 litres
d) Africa which is as big as all the other continents

Answer 43

a) 76 kg
b) 28 m
c) 20 litres
d) Eish

Question 44

Fill in or = :

a) 45 000 ? 54 000

b) 887 423 678 ? 887 559 139

Answer 44

a) <

b)

Question 45

Write in expanded notation:

432 744 123

Answer 45

400 000 000 + 30 000 000 + 2 000 000 +
700 000 + 40 000 + 4 000 +
100 + 20 + 3