WorksheetsG8 S1 End of Term Revision 1
Total questions: 269
Worksheet time: 21hrs 57mins
Find the prime factorization of 420
22 • 3 • 5 • 7
77
22 • 3 • 11
23 • 3 • 7
What number has the prime factorization of 23 • 32 • 5?
360
720
180
240
Find the prime factorization of 75 in exponential form.
Which of the following is Rational?
√52
√18
√64
√15
Which of the following is Irrational?
1.83838383...
5/2
√16
√8
Which number is Rational?
3 ∕ π
√15 ∕ 6
5.249854116....
1.4545454545....
444
four hundred and forty four
900
nine hundred
30
thirty
990
nine hundred and ninety
33
thirty three
What is the standard form of the number below?
Three hundred thousand, four hundred and twelve
3412
300 412
340 012
34 012
Jose flew one hundred and seventy-two thousand, four hundred and twelve miles last year for work. How is this number written in figures?
172 124
172 214
172 412
172 421
Four hundred and twenty-one thousand and fifty-one
421 051
42151
4002151
What is the reciprocal of
(a)
What is the reciprocal of
(a)
What is the reciprocal of
(a)
What is the reciprocal of
(a)
What is the reciprocal of
(a)
8.317 x 106
in standard form?
.000457
Convert to scientific notation:
520,000,000
52 x 107
5.2 x 10-7
5.2 x 108
0.52 x 109
(6 x 106) / (2 x 103)
Write in scientific notation. 0.0000000000000913
9.13 x 1014
9.13 x 10-14
9.13 x 1013
9.13 x 10-13
Choose a prime number.
11
14
12
15
Choose a prime number.
45
46
47
48
Choose a prime number.
78
79
80
81
Choose a prime number.
37
38
39
40
Choose a prime number.
57
58
59
60
Choose a prime number.
74
85
88
97
Choose a prime number.
19
25
27
33
What is the LCM (Least Common Multiple) of 4 and 10?
4
40
15
20
What is the GCF (Greatest Common Factor) of 12 and 30?
4
2
5
6
Find the LCM (Least Common Multiple) of 18 and 24.
6
72
24
5
Which are factor pairs of 45?
1,45,5,9
1,3,7,9
5,7,8,9
7,9,5,2
3x−4x+6=−16+7x
x=2.75
x=3.66666...
x=1.25
1.66666...
Solve: 5x−14=8x+4
x=6
x=−6
x=−18
x=10
Solve. 31x+92x=−5
x=−9
x=9
x=8
x=−8
What is 78.5 rounded to one significant figure?
79
78.5
70
80
What is 0.658 rounded to 1 significant figure?
0
0.66
0.7
0.658
Round 0.010229 to four significant figures
1022
1023
0.01023
0.01022
Round 1047.78 to three significant figures.
104
105
1050
1050.00
What is 375.6523 to four significant figures?
375.0
375.00
375.7
375.6
Round 8,775 to three significant figures.
877
8,770
8,780
8,770
What is 7.555 rounded to two significant figures?
7.6
7.5
70
76
7.60
0.0015289
Round to 3 significant figures.
(a)
153.89
Round to 2 significant figures.
(a)
Round 509.96 to 4 significant figures
509.9
509.0
510.0
510
Express 45 to 90 in its lowest term.
3 : 4
2 : 3
1 : 2
5 : 9
A class has 75 students. If there are 50 boys. What is the ratio of girls to the class?
1 : 3
3 : 2
5 : 7
2 : 3
Simplify as fully as possible 28:42
14 : 21
3 : 2
1 : 1.5
2 : 3
Which ratios are equivalent to 18:21
3:7
6:7
38:42
36:42
What is the formula for finding the circumference for a circle with just the radius?
2*π*r
1/2 b*h
a+b/2*h
I do not know
Find the area of the sector, rounding your answer to 1d.p.
210.4
209.4
104.7
105.1
Circumference = 20π km
What is the area of sector GPH?
9π yd2
32π yd2
18π yd2
6π yd2
Find the area of the shaded region.
125.7 cm2
40 cm2
103.7 cm2
33 cm2
Solve. 43a −1 = −2−2a + 4
ONLY PUT THE NUMBER AS THE ANSWER!
(a)
Solve for d. 3d + 92d= −5
Write the number of the answer only!
(a)
0.00345
State the number of significant figures for the number 2 400
1
2
3
4
State the number of significant figures for the number 560 001
3
4
5
6
State the number of significant figures for the number 4.000
1
2
3
4
Original: $350
New: $400
14% increase
25% increase
50% increase
.14% increase
Find the percent of change.
From 24 teachers to 30 teachers.
25% decrease
25% increase
20% decrease
20% increase
Original: 80
New: 52
35% decrease
35% increase
28% decrease
28% increase
The scale of a map is 2 cm to 50 m. Find the scale of the map.
1 : 250
1 : 2500
1 : 250000
1 cm : 250 cm
The scale of a map is 4 cm to 100 m. Find the scale of the map.
1 : 250
1 : 2500
1 : 250000
1 cm : 250 cm
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
14 in
7 in
42 in
56 in
£10:£50
£30:£50
£24:£40
£42:£24
£39:£65
£65:£39
£36:£60
£60:£36
Which is the Greater Ratio in the following pair, 5 : 9, 7 : 12
20 : 36
21 : 36
7 : 12
5 : 7
What are the total number of parts in the following ratio,
3 : 5 : 20 : 1
2.9
20
28
29
Simplify this ratio 124 : 204
51 : 31
27 : 49
31 : 51
8 : 21
Find the difference.
7/8 - 4/5
Reduce, or simplify answer.
-1 / 40
3 / 40
3 / 8
1
Add 29 8 and 332
596
695
51210
1294
Use a number tree to find the prime factorization of 32
2 x 2 x 2 x 4
2 x 2 x 2 x 2 x 2
Which list contains all prime numbers?
2, 3, 5, 7, 11
2, 3, 5, 7, 9
What is 11 squared?
112
132
144
121
22
What is the square root of 36?
√ 36
4
6
18
1296
What number squared is 9?
9
18
3
81
The √21 is between which two integers?
5 and 6
20 and 22
4 and 5
10 and 11
Which of the following is irrational?
0.444444444
-4/5
π
0.2
Identify the rational numbers.
4
π
3.5
2
32
What are all the FACTORS of 24?
1, 2, 12, 24
1, 2, 8, 24
1, 2, 3, 4, 5, 6, 8, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
Find the HCF of 21 and 28
3
4
7
14
Find the LCM of 12 and 16...
48
36
64
96
16/20 =
Multiply.
5/6
77/6
6/77
6/5
Suzy has 6 pieces of pizza. She gives 3 pieces of pizza to her brother. What fraction represents the pizza she gave away?
6/3
3/6
3/4
6/8
Select all that apply. Write a ratio of the first measurement to the second measurement in THREE different ways. 5 days, 35 days
355
5:35
35:5
5 to 35
35 to 5
A class is attended by 16 boys and 32 girls. Write the ratio of GIRLS to BOYS as a fraction in SIMPLEST FORM.
1632
21
3216
12
Use the shapes in the picture to write the ratio of STARS to SQUARES.
3 to 2
2 to 4
4 to 2
3 to 4
Compare:
87 and 95
87 >95
87 <95
87 =95
Split £20 into the ratio 7:3
£12 : £8
£7 : £3
£6 : £14
£14 : £6
Divide £720 in the ratio 5 : 1
12:60
576:144
120:600
600:120
65=42x
30
35
40
45
9x=6328
2
6
4
8
Solve the proportion.
109=60p
50
56
54
53
What is proportion?
Proportion tells us how many of one thing there is out of the whole number.
When two ratios can be multiplied by 2
Proportion tells us how many of one thing there is out of 100%
When two quantities have the exact same numbers
Scale is 1in = 8mi. Hatboro and Smithville are 24 miles apart on the map, how far apart are they?
87 mi
30 in
6 in
3 in
The scale of a map is 1 cm to 2.5 m. Find the scale of the map.
1 : 250
1 : 2500
1 : 250000
1 cm : 250 cm
3
2.4
24
6
216
2160
2656
2616
19080
16920
17400
1080
Find the percentage change in the following price increase:
£1250 to £1300
4%
2%
5%
10%
Find the new value when $20 is increased by 10%
$21
$22
$30
$40
Solve for m: 3(m-4)=9
7
-12
-18
24
Find the sum of the interior angles of the polygon.
720°
900°
1080°
1260°
What is the distance marked off by L called?
circumference
tangent
arc length
sector
Find the arc length of AB. Round your answer to the nearest tenth.
8 units
4.2 units
8.4 units
16.8 units
What are all the FACTORS of 24?
1, 2, 12, 24
1, 2, 8, 24
1, 2, 3, 4, 5, 6, 8, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
Find the HCF of 21 and 28
3
4
7
14
Find the LCM of 12 and 16...
48
36
64
96
16/20 =
Multiply.
5/6
77/6
6/77
6/5
Suzy has 6 pieces of pizza. She gives 3 pieces of pizza to her brother. What fraction represents the pizza she gave away?
6/3
3/6
3/4
6/8
Select all that apply. Write a ratio of the first measurement to the second measurement in THREE different ways. 5 days, 35 days
355
5:35
35:5
5 to 35
35 to 5
A class is attended by 16 boys and 32 girls. Write the ratio of GIRLS to BOYS as a fraction in SIMPLEST FORM.
1632
21
3216
12
Use the shapes in the picture to write the ratio of STARS to SQUARES.
3 to 2
2 to 4
4 to 2
3 to 4
Compare:
87 and 95
87 >95
87 <95
87 =95
Split £20 into the ratio 7:3
£12 : £8
£7 : £3
£6 : £14
£14 : £6
Divide £720 in the ratio 5 : 1
12:60
576:144
120:600
600:120
65=42x
30
35
40
45
9x=6328
2
6
4
8
Solve the proportion.
109=60p
50
56
54
53
What is proportion?
Proportion tells us how many of one thing there is out of the whole number.
When two ratios can be multiplied by 2
Proportion tells us how many of one thing there is out of 100%
When two quantities have the exact same numbers
Scale is 1in = 8mi. Hatboro and Smithville are 24 miles apart on the map, how far apart are they?
87 mi
30 in
6 in
3 in
The scale of a map is 1 cm to 2.5 m. Find the scale of the map.
1 : 250
1 : 2500
1 : 250000
1 cm : 250 cm
3
2.4
24
6
216
2160
2656
2616
19080
16920
17400
1080
Find the percentage change in the following price increase:
£1250 to £1300
4%
2%
5%
10%
Find the new value when $20 is increased by 10%
$21
$22
$30
$40
Solve for m: 3(m-4)=9
7
-12
-18
24
Find the sum of the interior angles of the polygon.
720°
900°
1080°
1260°
What is the distance marked off by L called?
circumference
tangent
arc length
sector
Find the arc length of AB. Round your answer to the nearest tenth.
8 units
4.2 units
8.4 units
16.8 units
Calculate mean for the above given data.
1.6
1.4
1.3
1.8
How do you work out the mean?
214 ÷ 7
26 ÷ 214
214 ÷ 26
214 ÷ 49
Calculate mean from the given frequency table.
7
8
9
10
Find the total frequency from the following table...
10
5
15
11
Find the mean from the following table...
You may need to copy the table out and add columns...
13
14
13.3
14.2
Find the mean from the following table...
You may need to copy the table out and add columns...
11.24
10.54
11.84
10.56
Find the mean age. You may need to copy the table out and add columns...
2.6
6.5
5.7
5.5
Find the mean number of phones. You may need to copy the table out and add columns...
2.56
2.3
1.5
2.2
Find the mean number of pets. You may need to copy out the table with an extra column.
0.87
1.55
1.68
1.45
Find the mean amount of money. You may need to copy out the table with an extra column.
£12
£24
£30
£35
For how many weeks was the data collected?
48
50
52
54
Complete the table and calculate the mean score from the given frequency table.
5.38
8.35
4.86
2.38
Work out the mean for the given frequency table.
2.4
4.2
3.6
4.6
Solve for x.
80
110
17
60
For a regular NONAGON, find the measure of one interior angle.
(a) °
If the sum of interior angles of a polygon is 900° , how many sides does the polygon have?
(a)
Select the correct values for a and m.
a=50, m=89
a=50, m=116
a=105, m=89
a=105, m=116
The measure of an exterior angle of a regular polygon is 45° .
Find the number of sides of the polygon.
(a)
Practice:
The measure of an interior angle of a regular polygon is 144° . How many sides does the polygon have?
(a)
If angle 1 has a measure of 135o, then m∠2 =
90o
135o
45o
65o
Find the surface area of the Cylinder ( pi=3.14, do not round your answers and write unit as m^2 )
(a)
Surface area units should be _____.
squared
cubed
exponent
the exact same as in the problem
What is the surface area of this figure? ( write your unit as in^2 )
(a)
Find the Surface Area of the triangular prism. (Write your unit as cm^2)
(a)
This is a net of what shape?
1519.76
V=πr2h
