Numbers, Rounding, Estimation

Mathematics Test

Grade 6

Numbers, Rounding, Estimation

Question 1: Circle the correct answers:

(5)

1.1 The numbers 1;2;3;4..... are called:

a) whole numbers b) natural numbers c) integers d) non-natural numbers

1.2 The numbers 0;1;2;3;4..... are called:

a) whole numbers b) natural numbers c) integers d) non-natural numbers

1.3 The largest 4-digit number minus the largest 3-digit number is:

a) 900

b) 9 999

c) 9 000

d) 990

1.4 The product of the number value of the 3 and the number value of the 4 in 2 345 is:

a) 1 200

b) 3 400

c) 12 000 d) 34 000

1.5 The sum of the product of 12 and 3 and the quotient of 250 and 5:

a) 360

b) 860

c) 86

d) 36

Question 2: Give the number value and the place value of the underlined digits below: 12each (4)

Number Value

Place Value

38 924

452 130

185 213

986 521

Question 3: Complete the following:

(5)

3.1 4 H = ____________

3.2 12 T = ____________

3.3 42 TH =____________

3.4 126 H = ____________

3.5 7TTh = ____________

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Mathematics Test

Grade 6

Question 4: Write the following in expanded notation using 3 different methods for each number.

4.1 79 215 =

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

4.2 909 382 =

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

4.3 150 814 =

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

(9)

Question 5: Simplify the following:

(5)

5.1. 4 + 3 + 2 + 9 =

_______________________________________________

5.2. 12 + 8 + 23 =

_______________________________________________

5.3. (4 ? 1000) + (2 ? 100) + (27 ? 10) =

_______________________________________________

5.4. (11 ? 10000) + (6 ? 1) + (9 ? 1000) =

_______________________________________________

5.5. 19 + 26 + 16 =

_______________________________________________

Question 6: Fill in the missing answers:

(5)

6.1 6 453 + _______ tens = 6 493

6.2 48 952 - ________ hundreds = 48 352

6.3 _____________ + 400 = 74 500

6.4 3 570 + 4 hundreds - 5 tens = ______________

6.5 13 985 - _____________ = 11 985

2

Mathematics Test

Grade 6

Question 7: Write the numbers in words:

(2)

7.1 45 096

_________________________________________________________________________________

7.2 108 543

_________________________________________________________________________________

Question 8: Arrange the following numbers in ASCENDING order:

98 754;

90 857;

97 854;

90 754;

97 654;

96 754

12each (3)

________________________________________________________________________________

Question 9: Arrange the following numbers is DESCENDING order:

45 893;

49 854;

40 987;

45 993;

48 989;

49 954

12each (3)

________________________________________________________________________________

Question 10: Round off the numbers as instructed: Nearest 10

Nearest 100

12each (412) Nearest 1 000

19 532

75 485

680 927

Question 11: Use the number below to answer the questions that follow:

11.1 What should be added to this number to get 780 069?

(1)

11.2 If the digit in the Hundreds place is multiplied by 100, what would the new number value of

the digit be? _____________________

(1)

11.3 If this number is divided by 10, the answer will be ___________________ .

(1)

11.4 Rearrange the digits to form the smallest even-number with the digit 1 in the Thousands

place.

(2)

3

Mathematics Test

Grade 6

Question 12: Jemma has R3 650 birthday money that she would like to spend on new clothes.

Below is a price list of clothing for sale.

Jeans:

R575,50

Shoes:

R865,85

Dress:

R699,99

Top:

R380,99

Jacket:

R769,75

Skirt:

R434,60

Estimate the cost of the following items by rounding off to the nearest R100,00; then calculate the

actual cost:

12.1 A pair of Jeans, one top and a pair of shoes.

(3)

Estimate

Actual cost

12.2 A dress, a skirt and a jacket. Estimate

(3) Actual cost

12.3 Will Jemma have enough money to buy one of each item? Estimate the cost and then

calculate the actual amount.

(312)

Estimate

Actual cost

12.4 If she doesn't have enough money for all the items, how much does she still need? (2) 4

Mathematics Test

Grade 6

Question 13: Write the number sentence with the correct answer:

(8)

13.1 Double the sum of 244 and 16.

13.2 Subtract the difference between 45 762 and 34 528, from 59 642.

13.3 How much is 54 896 more than 3 549? 13.4 Calculate the product of 564 and 27.

13.5 Find the quotient of the sum of 342 and 18, and the difference between 200 and 140.

Question 14: Solve the following word problems:

James has a holiday coming up. He and his family are flying to America, however they are having a one night stop-over in London on the way to America. On the way home, they fly from New York directly to Johannesburg.

14.1 Look at the distances below and calculate how many kilometers James and his family will be

flying in total?

(2)

Johannesburg to London

13 057,1 kilometers

London to New York

5 567 kilometers

New York to Johannesburg

12 832 kilometers

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Mathematics Test

Grade 6

14.2 What was the difference in distance flying to America, and flying back home?

(2)

14.3 James's mom has a work trip later in the year and will be flying back to New York. She will

be flying directly to New York and back again. How many kilometers would she have

traveled to America and back during the year?

(3)

14.4 If it costs the airline R19,00 per litre of jet fuel, how much would it cost to fuel the

aeroplane, if it needs 23 480 litres of fuel?

(2)

6

Mathematics Test

Grade 6

MEMO:

Question 1: Circle the correct answers.

(5)

1.1. b)

1.2. a)

1.3. c)

1.4. c)

1.5. c)

Question 2: Give the number value and the place value of the underlined digits below.

(4)

Number Value

Place Value

38924

900

HUNDREDS

452130

30

TENS

185213

80 000

TEN THOUSANDS

986521

900 000

HUNDRED THOUSANDS

Question 3: Complete the following

(5)

3.1 4 H = 400

3.2 12 T = 120

3.3 42 TH = 42 000

3.4 126 H = 12 600

3.5 7TTh = 70 000

Question 4: Write the following in expanded notation using 3 different methods for each number.

4.1 79 215 = 7 + 9 + 2 + 1 + 5

70 000 + 9 000 + 200 + 10 + 5

(7 ? 10 000) + (9 ? 1 000) + (2 ? 100) + (1 ? 10) (5 ? 1)

4.2 909 382 = 9 + 9 + 3 + 8 + 2

900 000 + 9 000 + 300 + 80 + 2

(9 ? 100 000) + (9 ? 1 000) + (3 ? 100) + (8 ? 10) + (2 ? 1)

4.3 150 814 = 1 + 5 + 8 + 1 + 4

100 000 + 50 000 + 800 + 10 + 4

(1 ? 100 000) + (5 ? 10 000) + (8 ? 100) + (1 ? 10) + (4 ? 1) (9)

Question 5: Simplify the following.

(5)

5.1 4 + 3 + 2 + 9 = 3 942

5.2 12 + 8 + 23 = 12 238

5.3 (4 ? 1 000) + (2 ? 100) + (27 ? 10) = 4 470

5.4 (11 ? 10 000) + (6 ? 1) + (9 ? 1000) = 119 006

5.5 19 + 26 + 16 = 20 860

7

Mathematics Test

Grade 6

Question 6: Fill in the missing answers.

(5)

6.1 6453 + 4 = 6 493

6.2 48952 - 6 = 48 352

6.3 74 100 + 400 = 74500

6.4 3570 + 4 - 5 = 3 920

6.5 13985 - 2 000 = 11985

Question 7: Write the numbers in words.

(2)

7.1 45 096

Forty-five thousand and ninety-six

7.2 108 543

One hundred and eight thousand, five hundred and forty-three

Question 8: Arrange the following numbers in ASCENDING order:

(3)

98754;

90857;

97854;

90754;

97654;

96754

90754;

90857;

96754;

97654;

97854;

98754

Question 9: Arrange the following numbers is DESCENDING order:

(3)

45893;

49854;

40987;

45993;

48989;

49954

49954;

49854;

48989;

45993;

45893;

40987

Question 10: Round off the numbers as instructed.

Nearest 10

Nearest 100

Nearest 1000

19532

19 530

19 500

20 000

75485

75 490

75 500

75 000

680927

680 930

680 900

681 000

Question 11: Use the number below to answer the questions that follow:

11.1 What should be added to this number to get 780 069?

(1)

780 069 - 403 198 = 376 871

11.2 If the digit in the Hundreds place is multiplied by 100, what would the new number value of

the digit be? 10 000

(1)

11.3 If this number is divided by 10, the answer will be 40 319,8 .

(1)

11.4 Rearrange the digits to form the smallest even number with the digit 1 in the Thousands

place.

(2)

301 498

Question 12: Estimate the cost of the following items by rounding off to the nearest R100,00; then

calculate the actual cost:

8

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