Mathematics: Test
1
Grade 5
Factors, Multiples, Prime Numbers, BODMAS
Question 1:
1.
Circle the correct answer from the options given:
The 9th multiple of 7 is;
a) 9
2.
b) 63
b) 46 700 ÷ 10
b) 6
b) 1, 2, 3, 7
d) 467 x 1 000
c) 9
d) 18
c) 2, 3, 7
d) 2, 3, 6
If 3, 4 and 8 are the factors of two numbers, what are the possible numbers?
a) 48, 72
6.
c) 467 ÷ 10 x 1 000
Which of the following are prime factors of 42?
a) 1, 2, 3, 6
5.
d) 36
The highest common factor of 36 and 18 is;
a) 648
4.
c) 49
4 670 x 100 is the same as;
a) 467 x 1 x 100
3.
(10)
b) 48, 64
c) 32, 48
d) 32, 108
How much more is 345 023 than 278 179?
a) 66 848
b) 623 202
c) 66 844
d) 68 644
7. What is the quotient of (306 x 1 000) and 3?
a) 102 000
b) 102
c) 1 020
d) 10 200
8. Find the value of x in the following equation 48 + 96 ÷ 12 x 4 = x
a) 76
b) 48
c) 220
d) 80
9. Fill in the missing numbers in the following row; 11, 13, 17, _____; ______; 29
a) 23; 30
10.
b) 19; 23
c) 23; 27
d) 19, 27
c) 3 040
d) 304
____________ is 100 times 3 040.
a) 304 000
Question 2:
b) 3 040 000
Make the following statement TRUE by inserting >, < or =:
1. 48 ÷ 4 x 12 - (8 x 2)
(48 ÷ 4 x 12) - 8 x 2
2. 304 - (4 + 5 x 11) + 25
(304 - 4 + 5) x 11 + 25
3. 81 ÷ 9 x 12 ÷ 3
81 ÷ 3 x 12 ÷ 9
4. 20 x (3 000 ÷ 100 + 25)
20 x 30 + 25
5. 5 + (1 000 x 500) ÷ 5
1 005 ÷ 5 x 1 000
(5)
Mathematics: Test
2
Grade 5
Factors, Multiples, Prime Numbers,
Factors, Multiples, Prime Numbers, BODMAS
Question 3:
Use the following digits and answer the questions that follow:
831290
a)
What is the smallest Whole number in this list of digits?
b)
What is the smallest Natural number in this list of digits?_____________________
c)
Make two 2-digit Prime numbers using the digits in the list:
___________________________
_____________________ (1)
(1)
__________________________ (2)
d)
Make the largest 6-digit odd number:
_______________________________ (1)
e)
Round this number to the nearest ten thousand:
f)
Can you find any Common Factors for 12 and 24 in these digits?
__________________________ (1)
___________________________________________________________________ (3)
Question 4:
a)
c)
Use the distribution method to solve the unknown:
12 x 89 = n
b)
(8)
25 x 35 = t
____________________________
___________________________________
____________________________
___________________________________
____________________________
___________________________________
____________________________
___________________________________
15 x 45 = x
d)
36 x 18 = y
____________________________
___________________________________
____________________________
___________________________________
____________________________
___________________________________
____________________________
___________________________________
Question 5:
Using the following sets of factors, list one number each (less than 144), for
which these can be factors.
Factors
9, 2, 54
18, 1, 9, 4
27, 3, 9
(3)
Numbers
Mathematics: Test
3
Grade 5
Factors, Multiples, Prime Numbers,
Factors, Multiples, Prime Numbers, BODMAS
Question 6:
1.
Calculate the answers to the following problems;
1 090 - 12 x 12 ÷ 6 x (378 - 354)
(2)
= ____________________________________________________________________
= ____________________________________________________________________
= ____________________________________________________________________
= ____________________________________________________________________
2.
31 x (18 ÷ 6 x 12 + 405) - 39
(2)
= ____________________________________________________________________
= ____________________________________________________________________
= ____________________________________________________________________
= ____________________________________________________________________
Question 7:
Refer to the grid and answer the questions below:
1. Colour all the multiples of 8 in green.
(2)
A
B
C
D
E
F
G
H
1
31
32
33
34
35
36
37
38
2
39
40
41
42
43
44
45
46
3
47
48
49
50
51
52
53
54
4
55
56
57
58
59
60
61
62
5
63
64
65
66
67
68
69
70
6
71
72
73
74
75
76
77
78
Name the columns and explain your answer. (2)
7
79
80
81
82
83
84
85
86
_________________________________________
8
87
88
89
90
91
92
93
94
_________________________________________
9
95
96
97
98
99 100 101 102
2. In which column will the next multiple of 8 be?
Give a reason for your answer.
(2)
_________________________________________
_________________________________________
_________________________________________
3. Colour the prime numbers in red.
(6)
4. Four columns will never have prime numbers.
_________________________________________
5. Colour the 17th multiple of 4 in yellow.
(1)
6. Define a prime number.
(2)
______________________________________________________________________________
______________________________________________________________________________
Mathematics: Test
4
Grade 5
Factors, Multiples, Prime Numbers,
Factors, Multiples, Prime Numbers, BODMAS
Question 8:
Calculate the answers to the following problems;
1. What is the difference between 104 034 and the quotient of 81 783 and 9?
(4)
2. Deduct 308 376 from the sum of 139 245 and 453 661.
(4)
3. If a farmer planted 28 701 maize crops in 9 rows, how many did he plant in a row?
(2)
4. If 25 038 kilometres have to be completed in 7 days and 7 026 km have been completed in
day 1, how many kilometres have to be completed on each of the remaining days?
(3)
Mathematics: Test
5
Grade 5
Factors, Multiples, Prime Numbers,
Factors, Multiples, Prime Numbers, BODMAS
Question 9:
Help me to figure out what number Charlie is thinking of. He has given me the
following clues:
½ each
(3)
The number is a 6-digit odd number.
The number is divisible by 5.
The digit in the Hundred Thousands place is a multiple of the number in the Units place.
The digit in the Hundreds place is the product of a number and zero.
The digit in the Tens place is a factor of all numbers.
The digit in the Ten Thousands place is the highest single digit Prime number.
The digit in the Thousands place is the highest single digit factor of 24.
Question 10:
1.
Problem solving
A total of 228 098 tickets were sold for the four One Direction concerts in South Africa. For
the first show in Johannesburg, 17 846 more tickets were sold than for the second show in
Johannesburg. For the first show in Cape Town, 54 108 tickets were sold and for the second
show in Cape Town, the same number of tickets were sold than for the second show in
Johannesburg.
How many tickets were sold for the first concert in Johannesburg and the second concert in
Cape Town?
(5)
Total:
/75
Mathematics: Test
6
Grade 5
Memo:
Question 1:
Circle the correct answer from the options given:
1. b)
2. d)
3. d)
8. d)
9. b)
10. a)
Question 2:
4. c)
5. a)
6. c)
7. a)
Make the following statement TRUE by inserting >, < or =:
1. 48 ÷ 4 x 12 - (8 x 2)
=
(48 ÷ 4 x 12) - 8 x 2
2. 304 - (4 + 5 x 11) + 25
<
(304 - 4 + 5) x 11 + 25
3. 81 ÷ 9 x 12 ÷ 3
=
81 ÷ 3 x 12 ÷ 9
4. 20 x (3 000 ÷ 100 + 25)
>
20 x 30 + 25
5. 5 + (1 000 x 500) ÷ 5
<
1 005 ÷ 5 x 1 000
Question 3:
(10)
(5)
Use the following digits and answer the questions that follow:
a)
What is the smallest Whole number in this list of numbers?
0
(1)
b)
What is the smallest Natural number in this list of numbers?
1
(1)
c)
Make two 2-digit Prime numbers using the numbers in the list:
(2)
Any two of 83, 89, 31, 19, 13, 23
d)
Make the largest 6-digit odd number:
983 201
e)
Round this number to the nearest ten thousand:
f)
Can you find any Common Factors for 12 and 24 in the numbers listed?
980 000
(1)
(1)
(1)
3, 1, 2
Question 4:
a)
c)
Use the distribution method to solve the unknown:
12 x 89 = n
b)
25 x 35 = t
12 x (80 + 9) = n
25 x (30 + 5) = t
(12 x 80) + (12 x 9) = n
(25 x 30) + (25 x 5) = t
960 + 108 = n
750 + 125 = t
n = 1 068
t = 875
15 x 45 = x
d)
36 x 18 = y
15 x (40 + 5) = x
18 x (30 + 6) = y
(15 x 40) + (15 x 5) = x
(18 x 30) + (18 x 6) = y
600 + 75 = x
540 + 108 = y
x = 675
y = 648
(4)
Mathematics: Test
7
Grade 5
Memo:
Question 5:
Question 6:
1.
Using the following sets of factors, list one number each (less than 144), for
which these can be factors.
(3)
Factors
Numbers
9, 2, 54
54, 108
18, 1, 9, 4
36, 72
27, 3, 9
27, 81, 108
Calculate the answers to the following problems;
1 090 - 12 x 12 ÷ 6 x (378 - 354)
(2)
= 1 090 - 144 ÷ 6 x (24)
= 1 090 - 24 x 24
Show all steps to avoid mistakes!
= 1 090 - 576
Number 2: Use scrap paper and
do vertical multiplication to get
answer for 441 x 31.
= 514
2.
31 x (18 ÷ 6 x 12 + 405) - 39
(2)
= 31 x (3 x 12 + 405) - 39
= 31 x (36 + 405) - 39
= 31 x 441 - 39
= 13 632
Question 7:
Refer to the grid and answer the questions below:
1. Colour all the multiples of 8 in green.
(2)
2. In which column will the next multiple of 8 be?
Give a reason for your answer.
(2)
Column B—the grid has 8 columns which means the
multiples of 8 will always be in the same column.
3. Colour the prime numbers in red.
(6)
4. Four columns will never have prime numbers.
Name the columns and explain your answer. (2)
Columns B, D, F and H. These columns only have
even numbers, which means they will always be
divisible by themselves, 1 and 2.
5. Colour the 17th multiple of 4 in yellow.
(1)
6. Define a prime number.
(2)
A prime number is a number that is divisible only by
1 and by itself. The number 1 is not a prime number.
A
B
C
D
E
F
G
H
1
31
32
33
34
35
36
37
38
2
39
40
41
42
43
44
45
46
3
47
48
49
50
51
52
53
54
4
55
56
57
58
59
60
61
62
5
63
64
65
66
67
68
69
70
6
71
72
73
74
75
76
77
78
7
79
80
81
82
83
84
85
86
8
87
88
89
90
91
92
93
94
9
95
96
97
98
99 100 101 102
Mathematics: Test
8
Grade 5
Memo:
Question 8:
Calculate the answers to the following problems;
1. What is the difference between 104 034 and the quotient of 81 783 and 9?
81 783 ÷ 9 = 9 087
(4)
104 034 - 9 087 = 94 947
2. Deduct 308 376 from the sum of 139 245 and 453 661.
139 245 + 453 661 = 592 906
(4)
592 906 - 308 376 = 284 530
3. If a farmer planted 28 701 maize crops in 9 rows, how many did he plant in a row?
(2)
28 701 ÷ 9 = x
x = 3 189
4. If 25 038 kilometres have to be completed in 7 days and 7 026 km have been completed in
day 1, how many kilometres have to be completed on each of the remaining days?
(3)
(25 038 km—7 026 km) ÷ 6 = x
18 012 km ÷ 6 = 3 002 km have to be completed on each of the remaining days.
Question 9:
Help me to figure out what number Charlie is thinking of. He has given me the
following clues:
½ each
HTh
TTh
Th
H
T
U
5
7
8
0
1
5
8—highest 1-digit factor
(3)
Can be 5 or 0, but it is an odd number
1 is a factor of all
7—highest Prime
5 is only 1-digt multiple of 5
Question 10:
Anything x 0 is 0
Problem solving
1. A total of 228 098 tickets were sold for the four One Direction concerts in South Africa. For the first
show in Johannesburg, 17 846 more tickets were sold than for the second show in Johannesburg. For
the first show in Cape Town, 54 108 tickets were sold and for the second show in Cape Town, the same
number of tickets were sold than for the second show in Johannesburg. How many tickets were sold for
the first concert in Johannesburg and the second concert in Cape Town?
(5)
JHB Concert 1
x + 17 846 sold
JHB Concert 2
x sold
228 098
CT Concert 1
= 54 108
CT Concert 2
x sold
Number sentence: (228 098 - 54 108 - 17 846) ÷ 3 = x
156 144 ÷ 3 = x
x = 52 048
Johannesburg:
52 048 + 17 846 = y
52 048 tickets were sold for the second concert in Cape Town.
69 894 tickets were sold for the first concert in Johannesburg.