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 = ____________
1
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
5
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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