Homework 17 (Calculator not allowed)
Name:
1) The diagram shows a weather chart.
a) How many mornings were sunny
b) On which day did it rain all day?
?
……………………….
(1)
…………………………………
(1)
2
2) Write the two missing numbers from each sequence.
a)
5
9
b)
60
50 45 40 35
11 13
17 19
(1)
25
(1)
2
3a) Tick () each picture
of a cylinder.
(1)
b) Cross (×) each shape
which is not a pentagon
(1)
2
4) There are 10 pencils in each box and 4 more pencils.
How many pencils are there altogether?
1
…………………………………………………….
Pencils (1)
5 a) Jacob wants to buy a banana.
He has 20 p. How much more money does he need?
……………………………………
p
(1)
b) Tina has £1. Can she buy three bananas?
You must show your working.
Yes 
…………………………………………………………………………………….……………………………………
No 
(2)
3
6) Write the number which is halfway between the numbers shown each time.
a)
b)
100
7)
110
50
100
(2)
2
Class 6 made a graph.
a) How many children are 5 years old?
………………………….
(1)
b) What is the total number of children in the class?
………………………………………………………………………………..
(1)
c) What is the difference in age between the oldest and youngest child?
………………………………………………………………………..
© t.silvester 2014
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Homework 17 (Calculator not allowed)
1) Look at these symbols:
+
–
×
÷
Name:
=
Choose two different symbols to make a correct calculation. Each symbol can be used more than once.
a)
15
3
5
(1)
5
b)
3
2
(1)
5
c)
2
7
(1)
3
2) The table shows information about the number of people using a tube station on different days of the week.
Morning
2500
3040
2480
980
650
Wed
Thurs
Fri
Sat
Sun
a) Which day had the most people
using the tube station?
Afternoon
1980
2450
3560
1640
320
…………………….……..…..….……
b) How many more people used the tube station
on Saturday afternoon than Saturday morning?
………………………..
3) The pie chart shows the proportion of people in a group who go to running, swimming and aerobics clubs.
There are 20 people in the group.
Fill in the table to show how many
people in the group go to each club.
aerobics
Club
(2)
Aerobics
4) Look at the shaded shape on the square grid and
for each statement below, tick () the box if the statement is true.
The shape is a square
The shape has four lines of symmetry
The shape has no right angles
………………………..
(1)
2
(2)
The shape is a quadrilateral
(1)
2
Number of people
Swimming
swimming
………………………..
(1)
Running
running
5) Work out the following (you must show full working)
2109 + 285
438 – 52
(1)
86 × 7
2
198 ÷ 6
………………………..
(1)
………………………..
4
(1)
6) The table shows the number of primary pupils who walk, cycle, take the bus and travel to school by car.
Complete the horizontal bar chart to show this information. The first bar has been completed for you.
Mode of Number of
transport pupils
Walk
30
Cycle
10
Bus
16
Car
25
Walk
Cycle
Bus
(2)
Car
0
© t.silvester 2014
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Homework 17 (Calculator not allowed)
Name:
1) Use the number line to help you work out the answers to the calculations.
3 – 4 = ………………. (1)
2)
(cm)
-2 + 3 = ………………. (1)
J
H
E
D
G
-5
-4
-3
-2
-1
0
2
3
4
-4 + 2 = ………………. (1)
3
The diagram shows the shoe size and height of 10 children.
a) Who is the tallest child? Write the child’s letter.
I
1
…………………….
(1)
F
b) How many children had a shoe size of 5?
C
A
B
………………………………..
(1)
c) Write down the height and show size for Child C.
Height: …………………….. cm
Shoe size
………………………..
(1)
3
3) Write down the missing numbers in the boxes
700 ÷
= 7
× 0.7 = 7
(1)
4) The diagram shows a dial. The pointer starts at 0 and turns anticlockwise
around the centre
a) Which number does it point to after
turning 90o anticlockwise?
…………………………… (1)
b) The pointer turns anticlockwise from 4 to 1.
Through how many degrees does it turn?
……………………………
(1)
2
2
3
1
0
4
5
7
(1)
2
6
5 a) Draw on all of the lines of symmetry for each of the patterns
(2)
2
6) Here is a list of values.
2
Tick () True or False for each of the statements below.
In each case, explain your answer.
TRUE FALSE
The list contains exactly 3 prime numbers
3
4
9
11
13
EXPLANATION
…………………………………………………………………
…………………………………………………………..
The mean of the values is 7
………………………………………………………………
…………………………………………………………..
The median of the values is 7.5
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…………………………………………………………………
………………………………………………..
© t.silvester 2014
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Homework 17 (Calculator not allowed)
Name:
1) Complete the calculations
1.4 ÷ 7 =
(1)
1.4 × 7 =
(1)
-2 –
=3
𝑥
2
(1)
(1)
3
2) Write numbers in the boxes to make the statements true.
When x =
then 2x =
(1)
When x =
then
–2=
2
3) The rates of smoking in Someland per 1000
people were recorded over 5 year periods between
1960 and 2000.
a) Estimate how many more men smoked
per 1000 than women in 1960
……………………..
(1)
b) In which 5 year period did the number
of women smoking increase the most?
……………………………………………………………
(1)
c) What percentage of the men and what percentage
of the women were smoking in the year 2000 ?
Men: ………….. %
…………..
%
(2)
4
y
4) Plot points A and B on the coordinate grid.
Hence write the coordinates of the midpoint
of line segment AB.
A: (-2 , 3)
Women:
6
B: (6, -1)
4
2
Midpoint of AB = ( ……… , ………. ) (1)
-6
-4
-2
0
(2)
2
4
6
x
-2
3
5) A Christmas calendar contains 24 chocolates. A shop has 43 calendars in stock.
How many chocolates are there in total?
……………………………………………………………………………………………………………………………………………………………………..
……………………………………………………………………………………………………………………………………………………………………..
……………………………………………………………………………………………………………………………………………………
(1)
1
6) Solve the equations.
3x – 4 = 11
11 + 2x = 3
x = …………………………………. (1)
© t.silvester 2014
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x = …………………………………. (1)
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Homework 17 (Calculator not allowed)
Name:
1) Match each expression in the shaded boxes with the equivalent expression below by drawing lines.
5x – x
5x + x
x5
6x
4x
x × 5x
5x2
top
2)
5x ÷ x
25x2
5x
View from top
(3)
5
View from front
3
View from side
Here is a 3D solid drawn
on an isometric grid.
Complete the views of the
shape on the grid.
The first is done for you.
front
(2)
2
side
3) The two-way table shows information for a class of
25 students about how many brothers and sisters they have.
0
1
2
a) How many students had no brothers or sisters?
…….…………
b) How many students came from families
with exactly 3 children including themselves?
…………..…………………………………………………………………………..
c) Show that the mean number of brothers is less than 1
(1)
Number
of
Brothers
Number of Sisters
0
1
2
5
3
1
6
4
0
3
2
1
(1)
………………………………………………………………………………...
……………………………………………………………………………………………………………………………………………….
(2)
4
4) This rectangle has an area of 8cm2. The length of the rectangle is exactly twice the width.
The rectangles are fitted together to make the square as shown.
Work out the perimeter of the square, giving the correct unit in your answer.
……………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………
(2)
2
5) Find the value of x.
3 + 2x = 5x – 9
Answer: x = ………………………. (2)
2
6) For each sequence, tick () the correct box to show if it is increasing, decreasing, or neither.
© t.silvester 2014
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1
1
1
2
3
4
5
3
4
5
6
2
3
4
5
1
2
3
4
3
6
9
12
1
2
3
4
4
10
16
22
increasing
decreasing








Page 5
neither




(2)
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Homework 17 (Calculator not allowed)
1 a) Work out
6×5×4×3×2×1
4×3×2×1
b) Hence work out
Name:
…………………………………………………………………………………………………………………..
(6×5×4×3×2×1)2
(4×3×2×1)2
……………………………………………………………………………………..……….
(1)
(1)
2
(2)
2
A
2) The diagram shows three points, A and B.
Point D is located closer to A than to B and
within 3 cm of point C. Use accurate
construction lines to show the locus of points
where point D could be located.
B
C
3) In a purse there are 10p and 20p coins in the ratio 3 : 5
a) What is the smallest amount of money that could be in the purse?
…………………………………..……………………..
(1)
b) Adam adds £2.10 using the smallest number of 10p and 20p coins possible. The purse still contains only 10p
and 20p coins. The ratio of 10p and 20p coins is now 2 : 5. How much money was originally in the purse?
…………………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………………….
Answer: £
…………………………………………………………………………………
4a) The equation of a straight line is given as y = ½x + 1
(2,1)

(2,2)

(4, 3)

(5,3.5)

……………………
(3)
4
Tick () all of the points which are on the straight line
(0,1)

(-2,-2)

(-2, 0)

(2)
b) Another straight line goes through the points (-2, -4), (0, 2) and (5, 17). Write the equation of this straight line.
…………………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………
(1)
3
5 a) Explain why √𝟓𝟎 must be between 7 and 8
……………………………………………………………………………………………………………………………………………………………
(1)
b) √𝟐𝟒𝟖𝟎 is between two consecutive whole numbers. What are the two whole numbers?
………………………………………………………………………………………….....…
Answer: ……………. and
……………
(1)
2
6) 64 is both a square number, and a cube number.
This can be seen because 64 can be written as
(2×2×2) × (2×2×2) and as (2×2) × (2×2) × (2×2)
Write down a value bigger than 64 which is also both a square number and a cube number. Show how you know.
…………………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………
© t.silvester 2014
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Homework 17 (Calculator not allowed)
1a) Factorise the expression:
Name:
b) Write numbers to make a correct factorization:
2
x + 6x + 5
x2 + 9x + ………… ≡ (x +
Answer: (x +
……....
…..…..
) (x + …..….. ) (1)
2
) (x + …….... ) (1)
2 a) Harry thinks that ½ of 4 × 106 = 2 × 103. Show why Harry is wrong.
…………………………………………………………………………………………………………………………………………………
b) Work out ½ of 1.83 × 10
5
(1)
Give your answer in standard form.
…………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………
3
(2)
3) Kevin and David work together. Kevin is paid exactly twice as much as David.
Both Kevin and David receive a pay increase. Tick () the true statement in the lists below.
a) If they both receive an increase of £5000 …
b) If they both receive a 5% pay increase …
a) £5000 increase
b) 5% increase
Kevin’s pay will be more than twice as much as David’s
Kevin’s pay will be exactly twice as much as David’s
Kevin’s pay will be less than twice as much as David’s
(2)
There is not enough information to tell.
2
4) Here are some expressions representing either a length, area or volume.
a, b and c all represent lengths. Draw lines to match up each expression. The first one is done for you.
a+c
length
½ab
2b(c + a)
area
2(a – b)
b2c
volume
(2)
2
2 3 4 5 He is going to mix them up and take one card at random.
5) Henry has 5 number cards: 1
Then he is going to take out a second card without replacing the first card.
a) What is the probability that he will take out 2 odd numbered cards
……………………………………………………….
(2)
b) What is the probability that he will take out 2 consecutive numbers?
…………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………
(2)
4
6) I think of two numbers, x and y. x – y is half of x + y. Write x in terms of y.
…………………………………………………………………………………………………………………………………………………….
…………………………………………………………………………………………………………………………………………………
© t.silvester 2014
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