Math Questions for Unit 1 by John, Aaron, Jeevan (8AM)
1. Copy and complete the following by finding a digit for each *.
(a)
2*
(b)
***
(c)
**
X
*9
X
*4
12)7**
***
2912
* *__
*5_
****_
24
4*5
39312
24
(d)
55
* 5) * * 5
**
**
**
(e)
654
3 2)* * * * *
*** _
***
*** _
***
***
2. List all the factors of the following.
(a) 15
(b) 28
(c) 42
(f)
1**
X
**
**79
78*_
*0 3*
(d) 78
3. List the first ten multiples of each of the following.
(a) 3
(b) 5
(c) 6
(d) 9
4. Find the largest prime number less than…
(a) 39
(b) 40
(c) 50
(e) 63
(f) 120
(e) 15
(f) 19
(d) 60
5. Express each of the following as a product of prime factors. Give your answer in index
notation (exponential form)
(a) 10
(b) 18
(c) 20
(d) 72
(e) 48
(f) 144
6. The HCF of two numbers is 12. If the sum of the two numbers is 72, find the numbers.
7. The HCF of the two numbers is 1 and the LCM of these numbers is 91. What are the
numbers?
8. Name the number law illustrated by each of the following sentences.
(a) 2 + 3 = 3 + 2 (b) 3 + (2 + 5) = (3 + 2) + 5 (c) (9 X 4) X 3 = 9 X (4 X 3)
Math Questions Solutions for Unit 1
1. Copy and complete the following by finding a digit for each *.
(a)
25
(b)
728
(c)
62
X
19
X
54
1 2) 7 4 4
225
2912
7 2__
25_
3640_
24
475
39312
24
(d)
55
1 5) 8 2 5
75
75
75
2.
3.
4.
5.
6.
7.
8.
(e)
654
(f)
131
3 2)2 0 9 2 8
X
69
192 _
1179
172
786_
160 _
9 0 39
128
128
List all the factors of the following.
(a)
15 1, 3, 5, 15 (b) 28 1, 2, 4, 7, 14, 28 (c) 42 1, 2, 3, 6, 7, 14, 21, 42
(d) 78 1, 2, 3, 6, 13, 26, 39, 78 (e) 63 1 ,3, 7, 9, 21, 63
(f) 120 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 30, 40, 60, 120
List the first ten multiples of each of the following.
(a)
3 3, 6, 9, 12 ,15, 18, 21, 24, 27, 30 (b) 5 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
(c) 6 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 (d) 9 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
(e) 15 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 (f) 19 19, 38, 57, 76, 95, 114, 133, 152, 171, 190
Find the largest prime number less than…
(a) 39 37 (b) 40 37 (c) 50 47 (d) 60 59
Express each of the following as a product of prime factors. Give your answer in index
notation (exponential form)
(a) 10 2 X 5 (b) 18 2 X 32 (c) 20 22 X 5 (d) 72 23 X 32 (e) 48 24 X 3 (f) 144 24 X 32
The HCF of two numbers is 12. If the sum of the two numbers is 72, find the numbers.
The numbers are < than 72 and are multiples of 12. 12 X 5 = 60, 12 X 1 = 12, 60 + 12 = 72.
The HCF of the two numbers is 1 and the LCM of these numbers is 91. What are the
numbers?
The numbers are a multiple of 1 and a factor of 91. 91 has factors 1, 7, 13, and 91,
The LCM of 7 and 13 is 91, and has the HCF of 91 (can also be 1 and 91)
Name the number law illustrated by each of the following sentences.
(a) 2 + 3 = 3 + 2 commutative law of addition (b) 3 + (2 + 5) = (3 + 2) + 5 associative law
of addition (c) (9 X 4) X 3 = 9 X (4 X 3) associative law of multiplication