Download KS3 Homework 14 2.09MB 2017-03-28 14:03:22

Homework 14 (Calculator allowed)
Name:
1 a) Anne buys a packet of crisps costing 43p with a 50 pence piece.
How much change did she get?
…………………………………………………….
p (1)
b) Debbie has the coins in Set A. Peter has the coins in Set B. Show, with working, who has the most money.
Set B
Set A
Answer: ……………………………….… (2)
………………………………………………………………………………………….……
90
2) Write these numbers from smallest to largest.
……………
……………
……………
18
21
……………
59
36
……………
3
67
(2)
……………
2
3) A shop sells scooters.
Month
Scooters sold
December
January
February
March
April
May
57
30
23
45
52
39
a) In which month did the shop sell most scooters?
……………………………………………………
b) In June, the shop sold 5 more scooters than in May. How many were sold in June?
4 a) Work out the value of the triangle to
make this calculation correct.
15
7
×
16
= 100
………………………. (1)
Answer:
8
=
–
b) Look at the numbers
Use two of the numbers to make this calculation correct:
(1)
…………………
= 7
2
(1)
2
(1)
5 a) The diagram shows half of a shape. Circle the correct name of the full shape.
Pentagon
Square
Hexagon
Rectangle
Octagon
(1)
b) Emily has some shaded shapes shown in the box.
She fits two of the shapes together to make the shape shown below.
Draw a tick () on the two shaded shapes used.
(1)
6)
1
4
2½
200
egg
spoons of flour
spoons of sugar
ml of milk
…………….
eggs
…………….
2
Ben makes cakes with the ingredients shown. Fill in the missing numbers to
show how he can make double the number of cakes in the spaces below.
spoons of flour
7 a) Write the number which is 11 less than 40
…………….
spoons of sugar
…………………………………………............
b) In April 2014, Ella was 10. How old will Ella be in April 2019?
© t.silvester 2014
…………….
Page 1
……………….…………….
ml of milk (2)
2
(1)
years old. (1)
2
15
Homework 14 (Calculator allowed)
Name:
1) Draw lines to match the words to the correct numbers. The first is done for you.
forty one
4010
four hundred and one
41
four hundred and ten
4100
four thousand one hundred
401
four thousand and ten
410
2
Ali

Ben
Ali
Ali
Ali
Ali
Ben
Cori
Del
Evan
(2)
Ben

Cori
Del
Ben
Cori

Cori
Cori
Del

Del
Evan

2) Five people played each other at tennis. The table shows who won each game.
a) How many did Ali win?
(1)
………………………..
c) Explain why there is a cross () in some boxes.
b) Who lost all of their games?
………..…………
………………………………………………………….…………….
(1)
(1)
3
3) There are twelve points marked around the circle. The points are equally spaced. You can join 4 points to make a
rectangle as shown.
a) Join 4 points to make b) Join 3 points to make
c) Join a different set of 3 points to
a square.
an equilateral triangle
make an isosceles triangle
(1)
(1)
3
(1)
4) Tick () the correct box to classify each angle shown.
a)
b)
2
Obtuse

Acute

Reflex

Right angle

(1)
Obtuse

Acute

Reflex

Right angle

(1)
5) Elliot buys two bananas costing 41p each, and a sandwich costing £2.95
How much change should he receive from a £5 note?
……………………………………………………………………………………………………………………………………………………………………..
………………………………………………………………………………………………………..
Answer £ ……………….………….. (2)
2
6) Here are the dates of birth of 5 people in a rowing team.
Name
Date of birth
Adrian
14.11.91
Simone
31.03.92
Jane
12.02.89
Ben
14.12.91
Russell
14.01.92
a) Who was born exactly one month after Ben?
………………………………………
(1)
b) Who is the oldest person in the rowing team?
………………………………………
(1)
c) Simone’s brother is exactly 2 years and 5 days
younger than Simone. What is her brother’s date of birth?
……………………………………….
(1)
3
© t.silvester 2014
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Homework 14 (Calculator allowed)
Name:
1) On the square grid, show the triangle reflected in the mirror line.
Insect
Cricket
Bee
Ant
Wasp
Spider
Caterpillar
Snail
2)
(1)
Life span
180 days
365 days
410 days
35 days
77 days
350 days
275 days
1
The table shows the average life span for different insects in days.
a) Which insect has an average life span of 1 year?
b) Which insect has an average life span of 11 weeks?
…………………..………….
(1)
………………………………………..............................................................
(1)
c) Which insect has an average life span of about 9 months?
…………………………………………………………….
(1)
3
3) Use the rules shown to write the next two numbers in each sequence.
Rule: Add 7
4
11
Rule: Multiply by 7
……..
4
…….
28
……..
(1)
Rule: Divide by 2 and add 5
4
…….
7
……..
…….
(1)
(1)
3
4) A bottle contains 250 ml of cough mixture. Adults take 10 ml four times a day. Children take 5 ml five
times a day. One adult and one child need to take cough mixture for 4 days.
Will there be enough cough mixture? Explain your answer.
...................................................................................................................................................................................................................................................
...................................................................................................................................................................................................................................................
................................................................................................................................................................................................................................
(2)
2
5) For each shape, draw a rectangle that has the same area.
(1)
(1)
(1)
3
6) Write the missing numbers in the boxes.
8
×
8
×
8
×
© t.silvester 2014
–
15
20
+
+
20
=
180
(1)
=
180
(1)
=
180
(1)
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3
15
Homework 14 (Calculator allowed)
Name:
1) A shop is raising money for charity. It collects £537.60.
a) How much is £537.60 to the nearest hundred pounds?
………………………………………………………………………..
b) How much is £537.60 to the nearest ten pounds?
……………………………………………………………...
(1)
(1)
2
2) A class of students have been tested to see if they could tell the difference between full fat and half fat milk.
The percentage bar charts show three pupils’ results; Pupil A, pupil B and pupil C.
60%
Can
100%
Cannot
Can
Can
80%
Cannot
Cannot
Pupil A
40%
a) Complete the table.
Pupil A
Pupil B
20%
Pupil C
0%
Number of
people tested
Number who can
taste the difference
Number who cannot
taste the difference
50
Pupil B
100
Pupil C
200
(2)
b) Explain why C’s results are likely to be more reliable than A or B’s
……………………………………………………………………………………………………..
(1)
3
3) You are given that m = 20. Work out the value of each of the expressions.
m–3 =
5m
m2 =
=
(3)
3
4 a) A box contains 3 bananas, 6 apples, 2 pears and 1 melon. I am going to take an item of fruit at random.
What is the probability that the item of fruit will be a banana?
(1)
……………………………………………..
b) A different box contains 10 items of fruit. The probability of choosing an apple is 0.6.
What is the probability of not choosing an apple?
……………………………………………..
2
(1)
5) Write the missing numbers in the boxes.
cm
230 mm is the same as
(1)
750 m is the same as
km
(1)
2
6) Some statements in the table are true and some are false. Beside each statement, write true or false.
For true statements you must draw an example. The first one is done for you.
Statement
Some triangles have one right
angle and two acute angles
Write true or false.
If true, draw an example.
Statement
Write true or false.
If true, draw an example.
Some triangles have one
obtuse angle and two acute
angles
true
Some triangles have two
obtuse angles and one acute
angle
Some triangles have three right
angles.
Some triangles have three
acute angles
(3)
3
© t.silvester 2014
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Homework 14 (Calculator allowed)
Name:
1) Look at the diagram, made from four straight lines. The lines marked with arrows are parallel.
Work out the sizes of the angles marked with letters.
b
Not drawn accurately
……………………………………………………………………………………………………
a
……………………………………………………………………………………………………
80o
c
50o
d
a = ……………o
b = ………………o c = ………………..o d = ……………….o
3
2) Look at this equation. 2x + 15 = 3x + k
a) If x = 10, find the value of k
………………………………………………………………..…………
a) If x = -10, find the value of k
…………………………………………………………..…………
3) Look at these pairs of number sequences.
4 7 10 13 16 …
The second sequence is formed from the first sequence
by either adding a number or multiplying by a number. 6 9 12 15 18 …
Work out the expression for the nth term for the
16 20 24 28 32 …
second sequence in each pair.
8 10 12 14 16 …
17 12 7 2 -3 -8 …
nth term:
nth term:
34 24 14 4 -6 -16 …
k = ………………………. (1)
k = ………………………. (1)
nth term:
nth term:
3n +1
nth term:
nth term:
4n + 12
2
(1)
(1)
22 – 5n
(1)
3
4) Look at the square grids. Each diagram shows an enlargement of scale factor 2. The centre of the first
enlargement is marked with a cross. Mark the centre of enlargement for each of the other two grids with a cross.
(1)
5) Ed asked people if they drank orange juice for breakfast. The results are
shown in the table, but the values in the table cannot all be correct.
No
Yes
No
80 people = 40%
126 people = 60%
80 people = 40%
a) The error could be in the number of people. Complete each
table on the right to show what the correct numbers could be.
Yes
………..
people = 60%
b) The error could be in the percentages.
Complete the table below with the correct percentages.
No
………...
people = 40%
No
80 people = ……………….%
Yes
126 people = ……………….%
2
(1)
Yes
126 people = 60%
(1)
(1)
(2)
4
1
6) The approximate volume of a tomato can be found using the formula 𝑉 = 6 𝜋𝑑2 ℎ
(V = volume, d = diameter, h = height). The diameter and height of a tomato are both 3 cm. What is the volume?
………………………………………………………………………………………………………..
© t.silvester 2014
Page 5
Volume ≈ ……………………. cm3 (1)
1
15
Homework 14 (Calculator allowed)
Name:
1) Multiply out these expressions. Write your answers as simply as possible.
b) (𝑥 + 3)(𝑥 + 4)
a) 3(𝑥 − 2) + 5(3 + 𝑥)
…………………………………………………………..……………
……………………………..……………………………………………
…………………………………………………………..……………
……………………………..………………………………………
(2)
…………………………………………………………..……
……………………………..…………………………………
Number of bees still alive
4
B
A
2) The diagram shows a square enclosure for meerkats at a zoo.
The enclosure is 4m by 4m. Microphones are placed at each
corner of the enclosure. Each microphone has a range of 3½ m.
A meerkat is out of range of microphones A and B.
Accurately construct the region where the meerkat could be
and label the region R.
(2)
Scale: 1cm to 1m
C
D
(2)
2
3) Bees have relatively short life spans. A scientist recorded data
on 1000 bees that were born on the same day. The graph shows
how many bees were still alive after a number of weeks.
a) Estimate the probability that a bee will live to be at least 20
weeks old.
…………………………………… (1)
Number of weeks
b) A bee is 40 weeks old. Estimate the probability that it will live
to be at least 50 weeks old.
………………………………… (1)
2
4) The rules for an algebra grid are shown below. Use the rules to complete the other algebra grids shown.
This value is the
sum of the values
in the middle row
This value is the
product of the
values in the
middle row
2x + 2
3x + 2
3x
2
3x
5x
6x
x+2
5x2
6x
(1)
3
(1)
(1)
5) Here is a diagram of a cuboid. The volume of the cuboid is 36cm3.
What could the values of a and b be?
Give two possible pairs of values if a and b are integer values.
a = ……………… b = ………...……
or
a = ………………
b = ………..……
a
(2)
2
a
b
6) Complete the division with a fraction written in its simplest form.
5
8
© t.silvester 2014
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÷
=
5
2
(2)
2
15
Homework 14 (Calculator allowed)
Name:
1) The first graph shows the straight line with equation y = x + 1
This straight line passes through the point (0 , 1).
a) Write the equations of two different straight lines
that also pass through the point (0 , 1)
………………………………….
and
……………………………………..
(2)
b) The second graph shows a line which is perpendicular
to y = x + 1. It has the equation y + x = 5
Write the equation of a different straight line that is perpendicular to y = x + 5
…………………………………
(1)
3
2) The number of stars that you can see with your eye on a clear evening is about 9 100, correct to the nearest 100.
The Uranometria Atlas published in 1988 shows 333 000 stars, correct to the nearest 1000.
a) Write 9 100 as a percentage of 333 000. Give your answer to 1 d.p.
………………………………………………………
(1)
b) Calculate the maximum number of stars that were published in the Uranometria Atlas which cannot be seen
with the eye.
...................................................................................................................................................................................................................................................
...................................................................................................................................................................................................................................................
....................................................................................................................................................................................................................................
Animal
3) If you are 6 metres tall, 10 miles per hour doesn’t feel very fast,
But what if you were 6 inches tall, like a squirrel?
Mouse
A mathematician has worked out how fast the actual speed of
Elephant
different animals would feel like if animals were the size of a human.
How fast would a Mouse’s speed feel if it was the size of an elephant?
Actual speed
(mph)
(3)
4
Speed if 6
foot tall (mph)
8.1
24.9
161.6
6.5
..........................................................................................................................................................................................................................................
....................................................................................................................................................................................................................................
(2)
2
4) The diagram shows five points joined with four straight lines. BC and AD
are parallel. BCE and ADE are isosceles triangles. The total length of the
four straight lines is 40cm. Work out the length of EA.
…………………………………………………………………………………………………………..
………………………………………………………………………………………………………….
3
…………………………………………………………………………………………………………..
……………………………………………………………………………………………………..
5)
(3)
I have three fair dice, each numbered 1 to 6. What is the probability that all
three dice will show the same number? Write your answer in its simplest form.
..........................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................
....................................................................................................................................................................................................................................
© t.silvester 2014
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(3)
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