St Alban’s High School
KS4 Pupil Self Assessment Tracker: Grade E
Name:
Class:
Grade
1
2
3
4
5
6
7
8
9
10
11
12
13
Number
Algebra
Shape
Handling Data
E
E
E
E
Number
N5.1
Round 12.399 to one decimal place
Round 1.618 to two decimal places
Round 124.613 to the nearest 10
Round 3295.9 to the nearest 100
Estimate the answer to 37.8 x 51.4 by approximation methods
Evaluate 0.70.2
What number do you multiply by 0.6 to get 0.06?
N5.2
10۩ = 100000. What is the value of ‘۩’?
104 = .۩ What does the ‘۩’ represent?
۩ 0.2 = 200. What does the ‘۩’ represent?
N5.3
۩ ÷ 10 = 800. What does the ‘۩’ represent?
Complete this table:
Fraction
Decimal
1/5
0.45
Percentage
36%
N5.4
N5.5
N5.6
N5.7
N5.8
3/8
Give 5 examples of prime numbers and explain what a prime number is.
What is the lowest common multiple of 6 and 8?
What are the reciprocals of: (a) 2 (b) 5
(c) 1/4
Write the numbers 108 and 120 as a product of their prime factors.
Find the highest common factor and lowest common multiple of 108 and 120.
Without a calculator work out 23 x 45
Using this answer what is the solution to (a) 2.3 x 45?
(b) 2.3 x 4.5? (c)
0.23 x 450?
Without a calculator work out 48/6
Using this answer what is the solution to (a) 4.8/6?
(b) 480/6? (c)
480/0.6?
What are values of 23, 33, 43, 53, and 103
Write the following using indices: 3x3x3x3, 4x4x4, 7x7x7x7x7
The cost of hiring a van is a basic charge of £43.75 per day plus 24p per mile.
Winston hires a van for two days.
The mileage shows 23 412 at the start of the first day
It shows 23 641 at the start of the second day.
When Winston returns the van at the end of the second day the mileage is 23
812. How much will the van hire cost?
Without a calculator work out: (a) 4.3 + 12.7 (b) 2.4 x 6.2 (c) 13.62 – 3.9
(d) 24.6/3
N5.9
N5.10
N5.11
N5.12
N5.13
Without a calculator work out: (a) 143 x 17 (b) 304/16 (c) 4.26 x 7.1 (d)
5.23 + 16.728
A recipe for a cake for 5 people requires 300g of flour, 180ml of milk and 80g
of chocolate.
How much flour, milk and chocolate would you need to make a cake for 8
people?
Harry got 21 out of 28 in a Maths test and 14 out of 20 in English. Explain
without using a calculator which is the better result.
Using a calculator put these 4 results in order:
(a) 12 out of 14 (b) 23 out of 28 (c) 83% and (d) 40 out of 49
Without a calculator work out:
4  3 2
(a) 4 + 3 x 5 = (b) 4 + 6 ÷ 3 + 5
(c) 4 x (3 + 5) ÷ 36 4  (d)
2 4
Without the use of a calculator work out:
(a) 3 x -4
(b) -7 + 3 (c) -5 x -7 (d) -3 – 8
(g) -20/-4
(e) -6 - -8
(f) -12/3
Algebra
A5.1
If m=3, what is the value of (a) 24-2m and (b) 4m+5
If d=12, what is the value of (a) 3(20-d) and (b) d2-24
A5.2
Solve (a) 3x + 5 = 17
A5.3
A5.4
(b) 2x – 5 = 9
(c) 3(x+4) = 27
Multiply out: (a) 3(x+5)
(b) 4(e-16)
Simplify by collecting like terms: 3w+8-2w+4w2-17
Simplify by collecting like terms (a) p+7+3p and (b) d+3d+2d+d
Plot the points (1,2), (0,-1), (-3,2), (-3,-2) and (1,-4). Write down the
coordinates of the points that can be joined to make a (a) trapezium, (b) kite
and (c) isosceles triangle
Shape, Space & Measures
Construct an accurate diagram
7cm
6cm
of this triangle:
9cm
S5.1
A triangle has base length 8cm. The base angles are 39 and 81. Construct an
accurate diagram of the triangle.
Construct an accurate diagram of the
triangle shown:
6.2cm
37
8.7cm
Assuming North is straight up the page, what is the bearing of B from A?
What is the Bearing of A from B?
A
S5.2
S5.3
B
Use a map and give the four-figure grid references for 3 locations (call them
C, D & E) and estimate the distance and bearings from C to D? C to E? and D
to E?
Draw a sketch of all the quadrilaterals you know and split them into groups,
clearly explain your reasons. Now split them in a different way with clear
reasons.
Look at the net of a cuboid. When it is folded, which vertex
S5.4
will meet with point ‘V’ which is marked with a black circle?
Sketch two cuboids with a volume of 24cm3
Draw the net of each of these two cuboids
Find the area and perimeter of this shape:
S5.5
Draw a rectangle with an area of 30cm2
Draw a rectangle with a perimeter of 24cm
6m
9m
4m
5m
S5.6
S5.7
S5.8
Draw a shape which has rotational symmetry of order 2 and one which has
order 3
Draw a shape which has 1 line of symmetry and another shape with 2 lines of
symmetry
Plot the points A(3,1), B(6,1) and C(6,5) and join to form a triangle.
(a) Rotate the shape ABC 900 clockwise using the point (1,1) as the centre of
rotation.
(b) Rotate the shape ABC 900 anticlockwise using the point (-1,1) as the centre
of rotation.
(c) Rotate the shape ABC 1800 using the point (1,-2) as the centre of rotation.
(d) Reflect the shape ABC in the line y=x
Complete each of the following:
0.2 litres  ____ ml
658cm  ____ metres
56 grams  ____kg
____cm  73mm
293mm  ____metres
____mg  2.4 grams
Complete each of the following:
8 inches  ____cm
44 lbs  ____kg
90 litres  ____gallons
Handling Data
D5.1
Give an example of an event which would be placed at ‘0’ on the probability
scale below. Give an example of an event which would be placed at ’1’.
0
1
A card is picked from a pack of ordinary 52 playing cards. What is the
probability of getting (a) a three, (b) a club, (c) the queen of hearts?
Draw an arrow to show the position of each of your answers on a probability
scale.
Calculate the mean and range for the ‘burn-time’ (in hours) of a torch when
using two types of batteries as shown below. Use your results to justify which
type of battery you would use.
D5.2
EverSteady
Ever-Go
6
7.5
5.5
5.25 4.75 5.75 6.5
5.5
7
6.5
2.5
7.75 8.25 7.5
8.5
This Pie Chart represents how Year 6 pupils travel to
school. Copy and label the diagram. Draw a similar
Pie Chart for Year 11 pupils and write down 3
D5.3
comparisons using the diagrams.
8