Grade C Maths Assessment
Test 5 Answers
A
1(a)
Number
To increase 60 by 18%
60 x 1.18
Answer
Mark
(b)
What percentage of the boys
is from Year 11?
45
= 0.5625 = 56.25%
80
2
Amy, Beth and Colin
shared some sweets in
the ratio 2 : 3 : 4
Beth got 36 sweets
3 shares = 36 sweets
1 share = 12 sweets
Amy gets 2 shares = 2 x 12= 24 sweets
3 (a)
4 52 - 1 23
22 5
5
3
66 25
15 15
41
15
11
15
1
1
1
4
1 5
12 2  8
Estimate
16.4 x 3.71
0.51
5 (a)
(b)
C
6(a)
2
(b)
7 (a)
2
25 8
X 
2
5


20 x 4 = 80 = 160
0.5
0.5
1
4
5
Write 200 as a product of its
prime factors.
23 X 5 2
1
LCM of 24 and 60
24, 48, 72, 96, 120
60, 120
120
2
Algebra
Expand & simplify:
6(x – 2) – 3( x – 1)
Factorise 8K – 6k2
75 × 76 = 73 × 7k
2
3
2
(b)
Criteria
1
Mark
6x – 12 – 3x + 3
= 3x – 9
2k(4 – 3k)
k=8
1
1
1
74
1
Criteria
6
7
Find the value of k.
(b)
72  73
7
8 (a)
(i)
Solve 3x - 1 > - 4
(ii)
Represent on number line
3x > – 3
x > -1
8
1
1
–5
–4
–3
–2
–1
0
1
2
3
4
5
(b)
Solve x3 + 20x = 71 by
trial & improvement
x=2.5
x=2.6
2.53 + 20x2.5 = 65.625
2.63 + 20x2.6 = 69.576
x=2.7
2.73 + 20x2.7 = 73.683
1
x = 2.6
9(a)
(b)
10 (a)
Q = 3c + 5d
Make t the subject of the
formula v = u + 5t
9, 12, 15, 28, 21, ...
Find nth term
(b)
11(a)
Find 12th term
1
9
Q = 3 x (-4) + 5 x 6
= -12 + 30
= 18
1
v = u + 5t
u + 5t = v (-u from each side)
5t = v - u
(÷5)
t
=v–u
5
1
difference : + 3
nth term = 3n + 6
10
1
3x12 + 6 = 42
1
Table of values for:
2
y = x – 4x – 2
3
(b)
Graph
When y = -3
Smooth parabola
X = 3.7 and 0.3
1
1
(c)
Graph parallel to y = x+1
Y = x +/- ?
1
C
12
13(a)
Geometry and Measures
Use Pythagoras to find length
of diagonal
Given volume, find height of
cuboid
-6
-5
2.42 + 1.72
= 5.76 + 289
=8.65
√8.65 = 2.9m
12 litres = 12000cm 3
Volume = length x width x height
12000 = 40cm x 20cm x height
12000 = 800cm x height
Height = 12000 ÷ 800
= 15cm
Convert 64000cm2 to m2
6.4m2
14
Describe transformation
Reflection in y = x
15
Perpendicular to a point
on a line
(b)
1
Mark
1
11
Criteria
12
1
13
1
1
1
1
14
15
1
16
a) Smallest
b) Largest
3.25 m
3.35 m
1
1
16
17
Work out time taken
Time = Distance ÷ Speed
= 87miles ÷ 36mph
17
= 2.416666667 hours (key
.,,, )
1
= 2h 25min
E
18
Data Handling
Design question
19
Response boxes
Daw frequency polygon
How often do you shop at this supermarket in a month?
0-2
3-5
6-8
More than 8
30
Mark
1
1
Criteria
18
2
19
(-1 per
error)
20
Frequency
10
0
100
110
120
130
140
150
Weight (w grams)
20
a) Modal class
4< w≤6
Mid class
interval
1
3
5
7
9
21
1
Totals
1x1 =1
3 x 10 = 30
5 x 23 = 115
7 x 14 = 98
9 x 2 = 18
Total = 262
1
b) Estimate mean
a) Before Range
b) After Range
Est mean = 262 ÷ 50 = £5.24
a) Before median
b)After Median
2
2
1
Comparison
Less variation in number of faults after servicing
1
22
Number of sixes
23(a)
20
5-0=5
4-0=4
1
1
1
Plot two points on graph
No. of sixes = 0.4 x 400
= 160
Points (65, 100) and (80, 110)
(b)
Relationship – describe
The taller the sheep, the longer the sheep
1
(c)
Estimate length of sheep
≈108cm
1
21
22
1
23