WorksheetsPentagon Block 4 Assessment Revision
Total questions: 212
Worksheet time: 7hrs 2mins
Round 0.161 to 1 significant figure.
0.1
0.16
0.2
0.15
Round 844 to 2 significant figures.
840
850
84
845
Write 40000 in scientific notation.
4x104
4x103
4x105
4x106
Write 3×104 in full.
30000
3000
300000
300
Write 2 × 10⁻³ in full.
0.002
0.02
0.0002
0.00002
Solve 7 + 2 × 3 using BODMAS.
13
21
17
9
What is the result of 9 + 6 ÷ 2?
12
7.5
13
17
Calculate 30 ÷ 4 ÷ 2.
3.75
2.5
15
5
What is 5 - 2²?
1
3
0
2
Solve 9 ÷ 3 + 15 x 2.
33
36
30
39
Convert the fraction 4/5 to a percentage.
80%
75%
85%
70%
Convert the fraction 2/5 to a percentage.
20%
25%
40%
45%
If a=1.5 , b=4 , c=6 , d=0.5 , and e=−3 , find the value of 4(a+d) .
8
10
6
12
If a=1.5 , b=4 , c=6 , d=0.5 , and e=−3 , find the value of 3(10−e) .
39
27
30
24
If a=1.5 , b=4 , c=6 , d=0.5 , and e=−3 , find the value of 3b+2 .
2
3
4
5
There are 40 students in a class.
How many students have green eyes?
4
6
8
10
There are 12 students in a class.
How many students have blue eyes?
4
6
8
10
There are 36 students in a class.
How many students have brown eyes?
9
15
12
20
What fraction of people chose elephant?
1/6
1/4
1/3
1/5
What fraction of people chose tiger?
1/10
1/5
1/9
1/8
What fraction of people chose giraffe?
1/5
1/4
1/3
1/2
What fraction of people chose rhino?
1/9
1/8
1/10
1/12
The survey was completed by 60 people.
How many people chose elephant?
10
36
6
15
90 people completed the survey.
How many people chose tiger?
9
10
12
8
90 people completed the survey.
How many people chose giraffe?
18
20
22
24
The survey was completed by 90 people.
How many people chose rhino?
10
8
12
9
Wallace records how long (in minutes) it takes him to get to work in the morning every day for three weeks. His results have been displayed in this stem and leaf diagram.
What is the mode?
22 mins
12 mins
24 mins
48 mins
Wallace records how long (in minutes) it takes him to get to work in the morning every day for three weeks. His results have been displayed in this stem and leaf diagram.
Calculate the range.
9 mins
51 mins
47 mins
48 mins
Wallace records how long (in minutes) it takes him to get to work in the morning every day for three weeks. His results have been displayed in this stem and leaf diagram.
Find the median.
19 mins
24 mins
21 mins
18 mins
Wallace records how long (in minutes) it takes him to get to work in the morning every day for three weeks. His results have been displayed in this stem and leaf diagram.
What fraction of Wallace's journeys are under 20 mins?
8/15
8/21
10/15
10/21
In a right-angled triangle, if one side is 6 cm and the other side is 8 cm, what is the length of the hypotenuse?
10 cm
12 cm
14 cm
100 cm
Which equation correctly represents Pythagoras' theorem for a right-angled triangle?
a2 + b = c2
a2 - b2 = c2
a + b = c
a2 + b2 = c2
If the hypotenuse of a right-angled triangle is 13 cm and one of the other sides is 5 cm, what is the length of the remaining side?
144 cm
8 cm
10 cm
12 cm
How many people are represented by the pie chart?
8
16
24
32
How many people are represented by the pie chart?
9
27
18
36
The pie chart shows the colours of 32 beads. How many green beads are there?
90
8
11
9
270 ice creams were sold in total. How many were Vanilla?
60
54
80
45
270 ice creams were sold in total. How many were Mint?
60
45
54
27
270 ice creams were sold in total. How many were Chocolate?
60
90
45
27
This stem and leaf diagram shows the ages of a group of people.How many people are there in the group?
12
10
16
11
This stem and leaf diagram shows the ages of a group of people. How old is the youngest member of this group?
14
10
15
1
This stem and leaf diagram shows the ages of a group of people. How old is the oldest member of this group?
44
40
50
4
This stem and leaf diagram shows the ages of a group of people. How many people in this group are younger than 20?
3
8
4
5
This stem and leaf diagram shows the ages of a group of people. How many people in this group are older than 25?
7
4
8
5
This stem and leaf diagram shows the heights of Mrs Smith's flowers. How many flowers does she have?
19
20
6
18
This stem and leaf diagram shows the heights of Mrs Smith's flowers.
Find the mode.
14
20
48
24
This stem and leaf diagram shows the heights of Mrs Smith's flowers.
Calculate the range.
14 cm
20 cm
48 cm
24 cm
This stem and leaf diagram shows the heights of Mrs Smith's flowers.
Find the median.
28 cm
25 cm
48 cm
24 cm
This stem and leaf diagram shows the heights of Mrs Smith's flowers. What is the height of the shortest flower?
9cm
1cm
12cm
0.9cm
This stem and leaf diagram shows the heights of Mrs Smith's flowers. What is the height of the tallest flower?
5cm
5.3cm
53cm
50cm
This stem and leaf diagram shows the heights of Mrs Smith's flowers. How many flowers have a height of 14cm?
3
1
0
2
This stem and leaf diagram shows the heights of Mrs Smith's flowers. How many flowers are taller than 40cm?
5
2
7
6
This stem and leaf diagram shows the heights of Mrs Smith's flowers. What fraction of the flowers are shorter than 20cm?
7/19
9/20
7/20
6/19
Write 0.75 as a percentage.
75%
25%
7.5%
0.75%
Express 45% as a fraction in its simplest form.
5/9
4/9
9/25
9/20
1001
in scientific notation?
8.317 x 106
in standard form?
Express the following in scientific notation:
0.000457
Express the following in scientific notation:
0.000 045
2.4 x 10-3
6.47 x 1011
Express 30% as a fraction
103
53
1030
1003
Express 25% as a fraction
41
100025
81
21
Express 10% as a fraction
1001
101
100010
102
Express 90% as a decimal
0.9
9.0
0.09
90.0
Express 80% as a decimal
0.8
0.08
8.0
0.008
Express 0.2 as a percentage
20%
2%
0.2%
200%
What is 5% as a decimal?
0.5
0.05
0.2
0.005
What is 0.3 as a percentage?
3%
30%
70%
0.3%
Which is bigger? 0.45 or 50%
0.45
50%
What is 0.7 as a percentage?
(a)
If Youssuf is 11 years old. How old he will be in the future (A) is represented by 11 + Y = A. Y is the number of years. How old will he be in 5 years?
11 + A = 16
11 + Y = A
11 + A = Y
11 + 16 = A
16 + A = 11
A TikTok creator gets paid:
$ = V3÷1000 (V= number of views)
How much money do they get paid for a video with 20,000 views?
$60,000
$60
$6000
$6
$600
if k=4, then 5k2−6=
-2
2
1/2
24
if m=1, then 2(m+9)2=
20
200
5
100
if n=20, then 2(5−n)+20=
-10
-30
15
45
if p=12, then p+ 43p=
48
36
15
21
if e=100, then e=
2
1000
10
1
if f=3, then 6f2+f=
2
4
-2
12
if b =−1, then 2+b=
1
3
-1
10
let x = 6 and y = 3,
calculate 3x - 4y
18x - 12y
6(x - y)
12
6
let a = 10 and b = -4,
calculate 2a + 4b
36
4
-4
28
let c = -5 and d = -2,
calculate 3( 2c - d)
-24
-36
36
24
m=8, n=6, p=4, q=2
Evaluate each expression below(substitute the variables)
n+q-p=
(a)
m=8, n=6, p=4, q=2
Evaluate each expression below(substitute the variables)
m+n+q=
(a)
Find (y+z)2
when y=3 and z=6
(a)
a2−b2
Evaluate if a=4 and b=−2
4
20
-4
12
2x+3+x2 for x=4
17
27
19
25
Evaluate 6a−3d
when
a=4, d=−4
(a)
Evaluate 3b+2d
when
a=1, b=3, d=−2
(a)
If y=4 ,
find the value of 3y+5
(a)
Expand 2(2 - 6h)
4 - 12h
4 - 6h
4 + 6h
4 + 12h
Expand g(5g - 2h)
5g - 2gh
5g2 - 2h
5g2 - 2gh
3h
Expand the Expression: 3(x - y + 5)
3x - 3y + 8
3xy + 15
3x + 3y + 8
3x - 3y + 15
Expand and simplify
(y + 3) (y + 5)
y2 + 8y + 15
9y3 + 15
y2 + 8y + 15
y2 + 15x + 8
Expand and simplify
(p + 5) (p - 1)
p2 + 4p - 4
p2 + 6p - 4
p2 + 4p - 5
p2 - 4p - 5
Expand and simplify
(w - 2) (w - 7)
w2 + 9w + 14
w2 - 9w - 14
w2 - 5w + 14
w2 - 9w + 14
Expand and simplify
(n + 3) (n - 10)
n2 - 13n - 30
n2 - 7n + 30
n2 - 7n - 30
n2 + 13n - 30
Expand and simplify
(h + 7)2
h + 49
h2 + 14h
h2 + 49
h2 + 14h + 49
Expand and simplify
(x + 3) (x - 3)
x2 - 6x + 9
x2 + 6x - 9
x2 + 9
x2 - 9
Expand and simplify
(5y - 1) (y - 2)
6y2 - 11y + 2
5y2 - 11y + 2
5y2 - 11y - 3
5y - 11y + 2
Expand and simplify
(3 + g) (5 - g)
15 + 2g + g2
g2 + 2g + 15
15 + 2g - g2
15 - 2g - g2
Expand and simplify the following quadratic expression...
(x + 3)(x + 8)
x2 + 11x + 24
x2 + 11x + 11
x2 + 24x + 11
x2 + 24x + 24
Expand the following brackets: -3(c + 7)
-3c - 21
3c + 21
-3c + 21
3c - 21
Expand the following brackets: -5(6 - c)
-30 + 5c
30 - 5c
-30 - 5c
30 + 5c
Expand the following brackets: 5(2f + 9w)
10f + 45w
5(2f + 9w)
10f + 9w
5f + 45w
Factorise x² + 4x
x(x+4)
4x(x+1)
Factorise 2x + 8
2(x+4)
2(x+8)
p2 - 14p
Factorise 3x+18.
3(x+6)
3(x+18)
3(x-6)
3x(x+6)
y2 -3y
y(y-3)
y2 (y-3)
y(1-3)
y2 (1-3)
3a2 - 9ax
a2 (3 - 9x)
3a(a -3x)
3a(a-9x)
a(3a-9x)
Expand and simplify the following quadratic expression...
(x + 4)2
x2 + 16
x2 + 8x + 16
x2 + 4x + 16
x2 + 16x + 8
Expand and simplify the following quadratic expression...
(x + 7)2
x2 + 49
x2 + 14x + 49
x2 + 49x + 14
x2 + 7x + 49
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 1099 to three significant figures.
100
101
1100
1,000
What is 7.555 rounded to two significant figures.
7.6
7.5
70
76
What is 0.00234 rounded to 2 significant figures?
0.0024
0.0023
0.00233
0.00235
If a number is 0.000456, what is it when rounded to 1 significant figure?
0.0004
0.00045
0.0005
0.0006
7
(-7) x (-7)
14
-14
49
-49
(-6) x 5
30
-30
9 + (-9)
0
18
-18
9
√16 or √36
34 or 43
Work out the root: ∛27
3
9
27
13.5
Work out the root: √49
7
13
2
49
Work out the root: √144
12
144
16
11
Solve the power: 105
100
500
100,000
1,000,000
Which is the symbol for cube root:
√
∛
∜
400 =
(a)
103 =
(a)
∛64 =
(a)
∛125 =
(a)
33 =
(a)
∛8 =
(a)
100 =
(a)
43 =
(a)
144 =
(a)
5+4x9=
41
36
81
53
(5+7) ÷ 6=
1
2
3
4
2x(15-2)=
21
22
23
26
6 + 6 x 6 - 6 =
66
42
0
36
39 - 6 x (7 - 2) + 32
18
30
139
384
What is the value of 5 × 3 - 12 ÷ 4 + 8 ?
3
4
14
20
Solve the following sum using BODMAS
6 X(2 +3 2) - 4
65
66
62
60
What is the equivalent decimal of
21 ?0.2
0.5
1.2
0.12
What is the equivalent fraction (IN SIMPLEST FORM) of 65%?
56
2013
10065
106
What is the equivalent fraction (IN SIMPLEST FORM) of 25%?
251
52
41
25
What is the equivalent decimal of
1005 ?0.05
0.5
0.005
5
What is the equivalent percent of 0.4?
4%
40%
0.4%
400%
What is the equivalent decimal of 7%?
7
0.7
0.07
0.007
Find 1% of 80
80
8
0.8
0.08
Find 25% of 140 g
34 g
70 g
35 g
14 g
Find 10% of 3.4
0.34
3.4
34
0.034
Find 1% of 50 m
50 m
25m
5 m
0.5 m
Find 11% of 600
66
0.66
6.6
660
Find 60% of 200
20
12
1200
120
Find 75% of 1200
300
600
900
1000
Find 15% of 300
30
15
45
40
What is 1% of 347
34.7
347
3.47
0.347
what is 2% of 350?
3.5
7
6
3
What is 10% of 45?
4
4.5
45
450
