WorksheetsMidterm Revision
Total questions: 255
Worksheet time: 9hrs 57mins
1. Select the correct option from the following.
On a number line when we add a positive integer we move to the left
On a number line when we add a positive integer we move to the right.
On a number line when we add a negative integer we move to the right.
On a number line when we subtract a positive integer we move to the right.
2. Select the incorrect option from the following.
when two positive integers are added we get a positive integer.
when two negative integers are added we get a negative integer.
when two negative integers are added we get a positive integer
when a negative integer and positive integers are added we get a negative integer
3. (-8) + (-4) = ?
-4
4
-12
12
4. (8) + (-4) = ?
-4
4
-12
12
5. (-8) + (4) = ?
-4
4
-12
12
6. (-8) - (4) = ?
-4
4
-12
12
7. (8) - (-4) = ?
-4
4
-12
12
8. (-8) - (-4) = ?
-4
4
-12
12
9. (8) - (4) = ?
-4
4
-12
12
10. (-12) - (8) = ?
4
-4
20
-20
11. (-12) - (-8) = ?
4
-4
20
-20
12. (12) - (-8) = ?
4
-4
20
-20
14. (-12) + (8) = ?
4
-4
20
-20
15. (12) + (-8) = ?
4
-4
20
-20
16. (12) + (8) = ?
4
-4
20
-20
17. (39) + (-12) + (-27) = ?
15
-15
0
68
18. Which of the following statement is false?
product of two positive integers is always positive.
product of two negative integers is always negative.
product of two negative integers is always positive
product of three negative integers is negative.
19. (-4) X (-3) = ?
-12.
-7
7
12
20. (-4) X (3) = ?
-12.
-7
7
12
What is 2 x 6
36
8
12
0.3
What is 6 + -2
4
8
0
-6
Which expression would describe this?
2*10
20
-20
-12
12
(-9)*(-8)
-72
72
81
-81
(-9)*(-8)
-72
72
81
-81
(4)(-20)
80
-80
24
-24
4 * (-5)
20
-20
-9
9
−20÷5
-4
4
-100
100
−30÷(−10)
-30
-3
3
30
−44÷4
11
-8
-11
-1/11
−12÷(−3)
36
-15
-4
4
12 * (-3)
15
-15
-36
36
(-2)(-2)(-2)
-8
8
-6
6
-5(-6)
-30
30
1
-11
(-9)(6)
-54
54
-3
-15
(-7) x (-7)
14
-14
49
-49
-5 + -5 = -10
true
false
-8 x (0)=
-8
8
0
-0
7 x -4
28
-28
11
74
Express an integer: a withdrawal of $100
100
-100
What is a negative times a negative?
negative
positive
–8 • (–3) positive or negative?
(-) x (-) = ???
(-) x (+) = ???
(-) x (+) = ???
(5) • (–9) • (–2)
(-2)(-1)(-3)(-4)(-1)
Is the product of –8 • (–3) positive or negative?
negative
positive
both
neither
The basketball team lost their last 6 games. They lost by a total of 48 points. Find the number of points lost each game.
8 points per game
7 points per game
6 points per game
On a certain day, the temperature changed at a rate of -3º an hour. How many hours did it take to reach -33º?
11 hours
-11 hours
99 hours
-99 hours
During a 12-hour period, the temperature dropped 48º F. What integer represents the change in temperature each hour?
-576º F
4º F
576º F
-4º F
(-7) x (-7)
14
-14
49
-49
Example: (-4)(-5)(-2)
-10 x 3 x -2
-60
60
63
-30
(-5 + -3) ÷ 2
-8
4
-4
8
-5 x -8
-40
-13
-45
40
80 + (-8) =
-15 - 3 =
-7(6) =
The sum of two positive integers will be...
Positive
Negative
Zero
When adding integer with different signs...
use the greatest absolute value to find the sum
add the numbers and the term with the greatest absolute value will determine the sign for the sum
multiplying the same signs will give you a positive product
subtract the numbers and the term with the greatest absolute value will determine the sign for the sum
Find the answer to (−24)÷(−4) .
(-6)
(-28)
6
4
What is the result of (-9) x 7?
63
(-63)
16
(-2)
What is the result of (-4) + (-5)?
9
20
(-20)
(-9)
Find the result. 7 - (-4)
11
(-11)
3
(-3)
Solve. (-22) - 44
66
22
(-66)
(-22)
The √40 is between which two integers?
39 and 41
6 and 7
5 and 6
19 and 21
The √21 is between which two integers?
5 and 6
20 and 22
4 and 5
10 and 11
Square root is the inverse of ____________.
Which of the following is NOT a perfect square?
1
4
100
8
Which of the following is not a perfect square?
110
4
1
81
12) Which pair of numbers are both between 6 and 7?
Between which 2 consecutive numbers on the number line does the square root of 23 lie?
-5 and -4
-2 and -1
2 and 3
4 and 5
Evaluate ∛1
(a)
∛8
(a)
Evaluate ∛27
(a)
Evaluate ∛64
(a)
Evaluate ∛125
(a)
Evaluate ∛216
(a)
Evaluate ∛343
(a)
Evaluate ∛512
(a)
Evaluate ∛729
(a)
Evaluate ∛1000
(a)
23 =
2
6
8
9
33 =
3
9
27
33
43 =
44
64
43
12
53 =
15
25
125
31000
10
100
125
3125
3125
5
25
39
39
9
2.08
327
3
4
327
38
2
4
38
Which number is not a perfect cube?
8
30
125
216
Which number is a factor of 10
3
4
5
8
Which answer lists all the factors for 40?
1,2,4,5,8,12,14,40
1,2,3,4,5,8,10
1,2,4,5,8,10,20,40
1,2,4,5,6,7,8,9,10
Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?
HCF
LCM
There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?
HCF
LCM
Find the LCM of 8 and 24 ...
24
48
32
64
HCF and LCM of 20 and 14 are...
2 dan 140
2 dan 70
3 dan 140
3 dan 70
The Lowest Common Multiple (LCM) of 24 and 60 is:
90
120
30
10
Find the HCF of 6 and 8
(a)
Find the HCF of 20 and 35
(a)
Find the HCF of 22 and 44
(a)
Find the LCM of 2 and 3
(a)
Find the LCM of 5 and 6
(a)
Find the LCM of 6 and 15
(a)
Find the HCF of 12 and 18
(a)
Find the LCM of 12 and 18
(a)
Find the HCF of 30 and 105
(a)
Find the LCM of 30 and 105
(a)
Find the HCF of 18 and 24
(a)
Find the LCM of 18 and 24
(a)
Find the HCF of 30, 36 and 48
(a)
Find the LCM of 30, 36 and 48
(a)
Find the HCF of 12 and 16...
2
4
6
8
Find the HCF of 20 and 24
6
4
5
12
Find the LCM of 12 and 16...
48
36
64
96
Find the highest common factor of 36 and 84.
5
6
4
12
Find the HCF for 18, 36, and 81
3
2
6
9
Find the LCM for 6, 18, and 36
6
18
36
108
A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?
HCF
LCM
Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?
HCF
LCM
Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?
HCF
LCM
There are two positive integers, a and b. Given that their LCM is 120. Which of the followings cannot be their HCF?
60
36
15
40
The product of two numbers is 1400, which of the following will never be its HCF and LCM (respectively)?
20, 70
40, 35
100, 140
50, 28
A number is expressed as
23 x 33 x 5.
What is the number?
11
72
270
1080
The HCF of 140 and x is 20 while their LCM is 420. Find the value of x.
60
70
80
210
28
49
98
14
40
45
63
98
k is an integer. The LCM of k and 12 is 120 while their HCF is 4. Find the value of k.
480
144
24
40
144
72
36
24
