Download Number 1, 2 and 3 File

KS4 Homework Booklet
Numbers 1
Numbers 2
Numbers 3
Name:
________________
Tutor Group:
________________
Maths teacher: ________________
Date set:
________________
Date due:
________________
Target Grade:
________________
End of unit homework
Time allowed: 90 minutes
Non-calculator
Numbers 1
1
Two students completed this calculation.
G
G
6 + 7 + 4 = 17
a
Zak said, ‘I added 6 and 4 first and then I added the 7.’
Explain why Zak did this.
..............................................................................................................................
.................................................................................................................. [1 mark]
b
Lilli said, ‘I knew that 6 + 6 makes 12, so then I added...’
Complete Lilli’s method.
..............................................................................................................................
.................................................................................................................[2 marks]
2
3
4
Write the answers to each of the following without using a multiplication square.
a
5  6 = ................................. [1 mark]
b 3  9 = ...................................... [1 mark]
c
7  7 = ................................. [1 mark]
d 15 ÷ 3 = ................................... [1 mark]
e
64 ÷ 8 =
f
g
7  10 = ............................... [1 mark]
i
150 ÷ 10 = ............................. [1 mark]
............................ [1 mark]
45 ÷ 9 = .................................. [1 mark]
h 14  100 = ............................... [1 mark]
Work out each of these.
a
4 + 6  2 = ........................... [1 mark]
b 5 – 8 ÷ 4 = .............................. [1 mark]
c
15 – (5  2) = ......................... [1 mark]
d 12 ÷ 4  9 = ............................. [1 mark]
e
(8 + 2)  17 = ...................... [1 mark]
f (19 – 7) ÷ 4 = .......................... [1 mark]
a
G
G
Write down the value of each underlined digit.
(i)
7620 .............................. [1 mark]
(ii) 4 000 001 ....................... [1 mark]
(iii) 17 263 ........................... [1 mark]
b
Write 265 731 in words.
..............................................................................................................................
.................................................................................................................. [1 mark]
c
Write seven million, eight hundred thousand, four hundred and twenty-five in figures.
................................................................................................................. [1 mark]
d
Write this list in order with the smallest first.
650
G
G
29
4040
4044
3649
380
4001
.................................................................................................................. [1 mark]
5
6
Round each of these numbers as indicated.
a
72 to the nearest 10
............................................................... [1 mark]
b
758 to the nearest 100
............................................................... [1 mark]
c
5148 to the nearest 1000
............................................................... [1 mark]
d
5148 to the nearest 10
............................................................... [1 mark]
Work out these answers, setting out each one sensibly.
a
47 + 165 .................................................................................................................
.................................................................................................................. [1 mark]
b
673 + 2471..............................................................................................................
.................................................................................................................. [1 mark]
c
5432 + 126 + 2714...................................................................................................
.................................................................................................................. [1 mark]
7
Complete these calculations. Set out your work sensibly.
a
36  5 .....................................................................................................................
.................................................................................................................. [1 mark]
b
421  8 ...................................................................................................................
.................................................................................................................. [1 mark]
c
6 × 271 ...................................................................................................................
.................................................................................................................. [1 mark]
d
4352 ÷ 2 ................................................................................................................
.................................................................................................................. [1 mark]
e
486 ÷ 9 ...................................................................................................................
.................................................................................................................. [1 mark]
f
2435 ÷ 5 ................................................................................................................
.................................................................................................................. [1 mark]
8
FM
Mr Philips has just finished setting up a drama studio for the school play at the Ilfracombe
a
High School.
There are 12 rows of chairs with 10 chairs in each row. How many seats are there?
..............................................................................................................................
................................................................................................................ [2 marks]
b
100 tickets have been sold so far at £6 each. The students need to make £500 in order to make some
profit for the school drama club. Have the students met this target?
.................................................................................................................[2 marks]
c
How much more money will be collected if the show is sold out?
..............................................................................................................................
.................................................................................................................[2 marks]
Numbers 2
9
Two students were asked to work out this calculation.
3  5 + 12 ÷ 3
Josef thinks the answer is 19. Jasmine thinks the answer is 9.
Who do you think is right? Explain your reasoning.
..............................................................................................................................
................................................................................................................ [2 marks]
10 The information in the table shows the number of students in Highdroft School.
G
G
a
Year 7
Year 8
Year 9
Year 10
Year 11
Years 12–13
150
145
152
116
147
81
Write the numbers of students in order, from smallest to largest.
................................................................................................................. [1 mark]
b
Which year group has the largest number of students?
................................................................................................................. [1 mark]
c
Which year group has the smallest number of students?
................................................................................................................. [1 mark]
d
Give a reason why there are fewer students in Years 12–13.
................................................................................................................. [1 mark]
11 On a computer game, Ben scored 1370 points, rounded to the nearest 10. List all of his (possible) actual
scores.
..............................................................................................................................
................................................................................................................ [3 marks]
12 Bethan is brilliant at baking brownies. The ingredients for the brownies are listed below.
FM
This week Bethan wants to bake double the quantity, for a charity bake sale.
Help her to work out how much of each ingredient she needs, by filling in the gaps below.
For 8 brownies:
For ____ brownies:
50 g dark chocolate
____________ dark chocolate
110 g butter
____________ butter
2 eggs
____________ eggs
225 g sugar
____________ sugar
50 g flour
____________ flour
1 teaspoonful baking powder
____________ baking powder
[7 marks]
13 Work out these answers, setting out each one sensibly.
a
482 – 365
b 702 – 356
c
...............................
......................................
................................
...............................
......................................
................................
...............................
......................................
................................
...............................
......................................
................................
[1 mark]
FF
5200 – 3374
[1 mark]
[1 mark]
14 Fill in the gaps in this addition square.
2
7
12
6
1
5
4
17
10
16
39
[5 marks]
15 Find two numbers that add up to 12 and give 32 when they are multiplied together.
..............................................................................................................................
.................................................................................................................[2 marks]
16 Sharon has £20 birthday money to spend.
She wants to buy a T-shirt for £5.99, some patterned leggings for £4.99 and a bag that costs £4.99. Sharon
FM
also wants to have a burger and a drink that cost £5.35 together.
Without working out the answers, which two of these calculations could she use to check if she has enough
money?
a 20 – (5.99 + 4.99 + 4.99 + 5.35)
b
(5.99 + 4.99 + 4.99 + 5.35) – 20
c 20 – 5.99 + 2  4.99 – 5.35
d
20 – (5.99 + 4.99 + 4.99) – 5.35
[2 marks]
17 In the following questions, use only the digits:
1, 4, 5, 9
Each digit may be used only once in each number.
a
Write down the six different odd numbers you can make in the four hundreds.
..............................................................................................................................
.................................................................................................................. [1 mark]
b
List these numbers in order and find the difference between the largest and the smallest.
..............................................................................................................................
..............................................................................................................................
..............................................................................................................................
.................................................................................................................. [1 mark]
18 Aisha and Ben are playing a game of darts, throwing three darts in each round.
FM
FF
On their first round of three throws:
Ben’s three darts landed on 17, 5 and 11
Aisha’s three darts landed on double 20, double 20 and 1.
Each player starts with 301 points and the first to zero is the winner.
a
How many points does Ben have left?
..............................................................................................................................
................................................................................................................ [2 marks]
b
How many points does Aisha have left?
..............................................................................................................................
................................................................................................................ [2 marks]
c
Who is winning after the first round of three throws?
..............................................................................................................................
................................................................................................................. [1 mark]
19 Baby Luke suffers from colic. The doctor has suggested that he should be given three 5 ml spoonfuls of
medicine each day for the next six weeks.
a
How much medicine will Luke need to take?
..............................................................................................................................
................................................................................................................ [3 marks]
b
How many 200 ml bottles of medicine will Luke’s mum need to use?
..............................................................................................................................
................................................................................................................ [2 marks]
20 Find three different numbers that add up to 19. One of your numbers must be 7.
..............................................................................................................................
................................................................................................................. [1 mark]
21 Alex and Vicki measured their heights, in centimetres, and then rounded to the nearest 10 cm.
Alex: 170 cm
E
E
a
Vicki: 160 cm
Decide whether each of the following statements is TRUE or FALSE.
(i) Alex could be 172 cm tall.
................................................................................................................. [1 mark]
(ii) Vicki’s shortest possible height is 154 cm.
................................................................................................................. [1 mark]
b
Decide whether each of the following statements is TRUE or FALSE. Explain why.
(i) Alex is 10 cm taller than Vicki.
..............................................................................................................................
................................................................................................................ [2 marks]
(ii) It would not be sensible to round the heights to the nearest 100 cm.
..............................................................................................................................
................................................................................................................ [2 marks]
[Total: 90 marks]