Download LEVEL 6 – Questions and answers - Whitchurch Community Primary

Whitchurch Community Primary School
Q1.Solve this equation to find the value of y.
8(y + 12) = 100
2 marks
Q2.
Carol counts the matches in 10 boxes.
She works out that the mean number of matches in a box is 51
Here are her results for 9 boxes.
Calculate how many matches are in the 10th box.
2 marks
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Whitchurch Community Primary School
Q3.
Shortcrust pastry is made using flour, margarine and lard.
The flour, margarine and lard are mixed in the ratio
8 : 3 : 2 by weight.
How many grams of margarine and lard are needed to mix with 200 grams of
flour?
2 marks
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Whitchurch Community Primary School
Q4.
Here is a circle with its centre at the point (1, 1)
The point (1, 7) is on the circumference of the circle.
For each of these points, put a tick ( ) to show if it is inside the circle, on the circle or
outside the circle.
One has been done for you.
inside
the circle
on the
circle
outside
the circle
(3, 7)
(7, 1)
(1, –7)
(–2, –2)
2 marks
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Whitchurch Community Primary School
Q5.
150 people take part in a walk.
This chart shows the number of people still walking at different times.
Use the chart to estimate the time when two-thirds of the people are still on the
walk.
1 mark
What percentage of the people who started are still on the walk at 3pm?
2 marks
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Whitchurch Community Primary School
Q6.
Here is a triangle.
Two of its sides are 4 cm and two of its angles are 45°
Join dots to make a different triangle.
Make only one of its sides 4cm and only one of its angles 45°
1 mark
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Whitchurch Community Primary School
Q7.
Susan mixes red and blue paint to make purple.
2 parts of red paint with 3 parts of blue paint make purple.
Susan has 50 ml of red and 100 ml of blue.
What is the maximum amount of purple she can make?
2 marks
Q8.
Work out the missing numbers below.
The first one is done for you.
The first
5
multiples of
4
add to 60
(because 4 + 8 + 12 + 16 + 20 = 60)
The first
3
add to 60
multiples of
1 mark
Now use different numbers to complete the sentence below.
The first
add to 60
multiples of
1 mark
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Whitchurch Community Primary School
Q9.
Here are four numbers.
Their mean is 4 and their range is 0
Write four numbers that have a mean of 4 and a range of 4
1 mark
Q10.
The diagram shows a square of side length 12 cm.
Inside the square are 8 congruent trapeziums and a shaded square.
The side length of the shaded square is 6 cm.
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Whitchurch Community Primary School
What is the area of one of the trapeziums?
3 marks
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Whitchurch Community Primary School
M1.
or equivalent
! Algebra
Accept equivalent fractions or decimals
2
or
Shows or implies a correct first step of algebraic manipulation that
either reduces the number of terms or collects variables on one
side of the equation and numbers on the other or correctly
removes the brackets, eg:
•
8y + 96 = 100
•
y + 12 = 100 ÷ 8
•
8y = 4
OR
Shows or implies a complete correct method, eg:
•
100 ÷ 8 = 12 (error)
12 – 12 = 0
•
25 × 4 = 100
12.5 × 8 = 100
12.5 – 12
1
Do not accept a first step of algebraic manipulation
which has a conceptual error, eg:
•
y + 12 = 100
• y + 96 = 100
• 8y + 12 = 100
! Correct embedded solutions
Award 1m for a response which shows , or
equivalent, as the embedded solution to their working
[2]
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Whitchurch Community Primary School
M2.
Award TWO marks for the correct answer of 52
If the answer is incorrect award ONE mark for evidence of an
appropriate method, eg
51 × 10 = 510
so number of matches =
510 – ((49 × 3) + (50 × 2) + (54 × 2) + 51 + 52)
The calculation need not be completed for the award
of the mark.
Up to 2
[2]
M3.
Award TWO marks for the correct answer of
margarine
75g
lard
50g
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
200 ÷ 8 = 25
margarine = 3 × 25
lard = 2 × 25
OR the use of ratio, eg
8:3:2
80 : 30 : 20
40 : 15 : 10
200 : wrong answer : 50
200 : 75 : wrong answer
Up to 2
[2]
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Whitchurch Community Primary School
M4.
Award TWO marks for table ticked as shown:
If the answer is incorrect, award ONE mark for two out of three added ticks
correctly placed.
Accept alternative unambiguous indications eg, Y or N, or
crosses in the table.
Do not accept any row that has ticks in more than one box.
Up to 2
[2]
M5.
(a)
Answer in the range 12:30pm to 1:00pm exclusive.
Accept answers with or without ‘pm’.
1
(b)
Award TWO marks for the correct answer of
% OR 26.6%
Accept 26.6% OR 26.7% OR 26.6 ... % OR 27%
Accept for ONE mark 26%
If the answer is incorrect, award ONE mark for evidence of an
appropriate method, eg
40 ÷ 150 × 100
Answer need not be obtained for the award of the mark.
Up to 2
[3]
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Whitchurch Community Primary School
M6.
Joins dots to make a triangle that has only one side of 4 cm and only one angle of 45°.
! Lengths or angles shown on their triangle(s) Ignore, even if
incorrect
Do not accept dots not used
U1
[1]
M7.
Award TWO marks for the correct answer of 125ml.
If answer is incorrect, award ONE mark for evidence of an appropriate method, eg:
•
50 + (3 × 50 ÷ 2)
•
50 = 2 × 25
3 × 25 = 75
50 + 75
Accept answer without units.
Up to 2
[2]
M8.
The first
3
multiples of
10
add to 60
1
The first
4
multiples of
6
add to 60
2
multiples of
20
add to 60
1
multiples of
60
add to 60
or
The first
or
The first
1
U1
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Whitchurch Community Primary School
[2]
M9.
Gives four numbers that sum to 16 and have a range of 4, ie
1, 5, 5, 5
or
2, 2, 6, 6
or
2, 3, 5, 6
or
2, 4, 4, 6
or
3, 3, 3, 7
Accept numbers given in any ordereg•
3,7,3,3
Do not accept decimals or fractions usedeg• 1.5,4,5,5.5
U1
[1]
M10.
or equivalent
3
or
Shows or implies a complete correct method with not more than one computational error
The most common correct methods:
Find the total area of the trapezia and divide by 8 eg •
(122 − 62) ÷ 8 •
144 − 36 = 94
(error)
94 ÷ 8 = 11.75
Do not accept squaring evaluated as × 2 eg • (122 – 62) ÷
8 = (24 – 12) ÷ 8
Find the dimensions of a trapezium and use the formula or component parts eg •
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(3 +
Whitchurch Community Primary School
6) × 3
•
•
×3
3 × 3 + (3 × 3) ÷ 2
or
The only error is to work with 4 congruent trapezia (not 8), but correctly finds the area of
one of them eg •
(144 – 36) ÷ 4 = 27 •
32 = 9, 9 × 3 = 27
Do not accept for 2m, 27 seen with no method
2
or
Shows or implies a correct method to find the total area of the trapezia eg •
•
144 – 36 •
108 seen
(122 – 62)
or
Show the parallel sides of the trapezium are 3(cm) and 6(cm), and the height is 3(cm) eg
•
Diagram marked correctly
! Brackets omitted For 1m, condone eg, accept • 122 – 62 ÷
8 = 139.5
1
U1
[3]
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