Transcript Level 3 - mathsrevision

Level 3
Non - Calculator
Exercise 1
Exercise 8
Exercise 15
Exercise 2
Exercise 9
Exercise 16
Exercise 3
Exercise 10
Exercise 17
Exercise 4
Exercise 11
Exercise 18
Exercise 5
Exercise 12
Exercise 19
Exercise 6
Exercise 13
Exercise 20
Exercise 7
Exercise 14
16-Jul-15
1
16-Jul-15
Level 3
Exercise 1
1.
4.
3.
2.
The fastest time for running the 100 metres is
9·78 seconds.
£42
is shared between 8 people, how much does
Simplify
What is this time correct to 1 decimal place?
each person get?
5a
+9.8s
2b
8a + 2b - 3a
£5.25
A school orders 9 computer screens at £106
each. What is the total cost?
£954
16-Jul-15
Level 3
Exercise 2
1.
4.
3.
2.
Round 5·588 to 2 decimal places.
5·59
£52
is
shared
between
10
people,
how
much
Simplify
5a + 3b
does
each
person
get?
The product of two numbers is 125.
6a + 3b - a
£5.20
One of the numbers is 5.
25
What is the other number?
16-Jul-15
Level 3
Exercise 3
1.
4.
3.
2.
Round 7·782 correct to 2 decimal places.
Eight men weigh 626 kg in total.
7·78
Simplify
2a +6b
What is the average weight?
Calculate 20%
3a + of
4b£90
– a + 2b
78.25kg
£18
16-Jul-15
Level 3
Exercise 4
1.
4.
2.
3.
Round
13·598
to 2ofdecimal
places.
How many
pieces
rope, each
6 metres long,
13·60
can
be
cut
from
a
length
of
rope
291·5
metres
A golf caddy car travels round a golf course at
long?
an
average speed of 20 km per hour.
Simplify
48
What distance
6x +does
4y + it
2xtravel
- 3y in 15minutes?
8x5km
+y
16-Jul-15
Level 3
Exercise 5
4.
1.
3.
2.
Julia
house. The
removal
took 8
Whichhas
of moved
these numbers
would
NOTfirm
be equal
If a=2toand
b=3, find
the
value of
hours
complete
the
move.
to
7·4
when rounded to one decimal place? 14
4a
+
2b
They charged £164·00 in total.
A 7·38
The
product
two numbers
is 112.per hour?
What did the of
removal
firm charge
7·44 is 4.
One of the Bnumbers
£20.50
28
7·351 number?
What is theC other
D 7·451
D 7·451
16-Jul-15
Level 3
Exercise 6
1.
4.
The
use
of leap
years
a way of
Helen
needs
to buy
40ismetres
of compensating
steel rope and
3. If between
x = 6 andthe
yit=home.
2,
quarter-day
difference between a
10
transport
find
theof
value
3xand
–16·8
4y
calendar
year
365of
days
thekg.
astronomical year
1 metre
of
steel
rope
weighs
of
365·24219878
days.
What
weight
of320?
rope
will Helen have to transport home?
2.
What
is 5% of
Round 365·24219878 to 5 decimal places
672kg
16
365.24220
16-Jul-15
Level 3
Exercise 7
1.
Length of stay
Cost
Up to 1 hour
60p
Up to 2 hours
£1·00
Up to 4 hours
£2·00
Over 4 hours
£4·00
A car enters the car park at 9.17 am and leaves at
1.04 pm.
How much does this stay cost? £2
16-Jul-15
Level 3
Exercise 7
2.
Round the numbers 2·875 and 4·42 to one
decimal place and then add them together.
2.9 + 4.4 = 7.3
16-Jul-15
Level 3
Exercise 7
3. The air temperature at the foot of a mountain is 31°C.
On top of the mountain it is -7 °C.
How much warmer is the air at the foot of the
mountain?
38 degrees
16-Jul-15
Level 3
Exercise 7
4. A store is selling all its compact discs at the same price.
3 compact discs cost £26·97.
How much do 5 compact discs cost?
£44.95
16-Jul-15
Level 3
Exercise 8
1. Haroum went into a superstore and bought 8 DVDs
at £12·99 each and a number of identical mugs costing
£6·40 each.
In total, he spent £148·72.
How many mugs did he buy?
7 mugs
16-Jul-15
Level 3
Exercise 8
2.
12·3 x 28·2 is nearest in value to
a) 30
b) 300
c) 3000
d) 30000
b) 300
16-Jul-15
Level 3
Exercise 8
3.
The temperature at 10 pm is -1°C.
The temperature drops by 2°C every hour.
What is the temperature at midnight?
-5 degrees
16-Jul-15
Level 3
Exercise 8
4.
Martin sent out 200 questionnaires.
52 completed questionnaires came back.
What percentage is that?
26%
16-Jul-15
Level 3
Exercise 9
1. The judges in an ice skating competition gave the
following scores:
5·6
5·4
5·6
5·5
5·7
5·8 5·5
5·7
What was the average score?
5.6
16-Jul-15
Level 3
Exercise 9
2.
Which of these numbers would NOT be equal to 7·4
when rounded to one decimal place?
A 7·38
B 7·44
C 7·351
D 7·451
D 7.451
16-Jul-15
Level 3
Exercise 9
3. During a school trip Joe, Mary and Andy buy lunch at Brill Burger.
Burgers cost £1·63 and juice costs 54p.
Each of the friends has £4·50.
How much money will they have left, altogether, if they each buy a
burger and juice?
£6.99
16-Jul-15
Level 3
Exercise 9
4.
What percentage of the grid is shaded?
4%
16-Jul-15
Level 3
Exercise 10
1. A scale drawing is made of a room.
The scale is 1 cm to 50 cm.
The length of the room on the drawing is 6 cm.
What is the actual length?
300cm
or 3m
16-Jul-15
Level 3
Exercise 10
2.
The number 59 is the sum of three consecutive
prime numbers.
What are the three numbers?
17,19,23
16-Jul-15
Level 3
Exercise 10
3.
The coffee machine is two-thirds full. This is enough
for 36 cups.
How many cups of coffee are there in the machine
when it is full?
54
16-Jul-15
Level 3
Exercise 10
4. A rectangle has an area of 24 cm².
The length is 8 cm.
Find the perimeter of the rectangle.
22cm
16-Jul-15
Level 3
Exercise 11
1.
A new motor car costs £6000.
It loses 30% of its value over the first year.
What is the drop in value over the first year?
£1800
16-Jul-15
Level 3
Exercise 11
2. Calculate:
58 + 13·72
71.72
16-Jul-15
Level 3
Exercise 11
3. George took 7 hours 55 minutes to drive from
Glasgow to London.
Eric took 9 hours 15 minutes to drive the same
journey.
How much quicker was George?
1hr 20 min
16-Jul-15
Level 3
Exercise 11
4. A red bus leaves the bus station every 20 minutes.
A blue bus leaves every 10 minutes.
A yellow bus leaves every 6 minutes.
If all 3 colours of bus leave together at 9.00 am, when
will be the next time that they all leave together?
10am
16-Jul-15
Level 3
Exercise 12
1. Weight at the start: 9·302 g
Weight at the end: 8·937 g
What weight of material was lost during the
experiment?
0.365g
16-Jul-15
Level 3
Exercise 12
2. Which of the following is the greatest value?
A 10% of 500
B 50% of 80
C 25% of 100
D 20% of 200
A: 50
16-Jul-15
Level 3
Exercise 12
3. At the start of the month, Gordon has £267 in his bank
account.
He spends £36·50 on CDs, £29·99 on clothes and £106
on food and travel over the month.
How much money has he left at the end of the month?
£94.51
16-Jul-15
Level 3
Exercise 12
4.
One CD costs £13·49.
How much will 6 CDs cost?
£80.94
16-Jul-15
Level 3
Exercise 13
1. Which of the following ratios are equivalent to 6:10 ?
A 6:8
B 3:5
C 9:15
D 9:25
B
16-Jul-15
Level 3
Exercise 13
2. The product of two prime numbers is 187.
Write down the prime numbers.
11 and 17
16-Jul-15
Level 3
Exercise 13
3.
The graph shows the total income and expenditure of
Douglasville Football Club over a 6-year period.
How much profit did
the club make in 2009?
£15,000
16-Jul-15
Level 3
Exercise 13
4.
Complete the table and put the constestants in order.
Number the boxes 1, 2 and 3 to show the correct
order.
Name
Sam
Kim
Alex
Sam
3
Round 1
15
-9
-7
Round 2
-9
12
15
Alex
2
Round 3
-8
5
-3
Kim
1
Total
16-Jul-15
Level 3
Exercise 14
1. The weight of a box is 16·481 kilograms.
What is the weight to the nearest 0·1 kilogram?
16.5kg
16-Jul-15
Level 3
Exercise 14
2. The weights of 5 pupils are measured.
The weights are 47 kg, 51 kg, 45 kg, 42 kg and 50 kg.
What is the average weight of the 5 pupils?
47kg
16-Jul-15
Level 3
Exercise 14
3.
In a fish store, the temperature was –3°C.
By 1pm the temperature had risen by 3 degrees.
What was the temperature at 1pm?
0 degrees
16-Jul-15
Level 3
Exercise 14
4. 4 balls of wool are needed to knit 6 hats.
How many balls of wool would be needed to knit 27
hats?
18 balls
16-Jul-15
Level 3
Exercise 15
1. John, Simon and Kevin earned money in their summer
holiday by delivering leaflets.
Kevin delivered twice as many as Simon.
John delivered 500 more than Simon.
They delivered 3700 leaflets in total.
How many leaflets did Simon deliver?
800
16-Jul-15
Level 3
Exercise 15
2.
Round 0·896 to 2 decimal places.
0.90
16-Jul-15
Level 3
Exercise 15
3.
How long will it take for a plane to travel 3000 km
at 200 km per hour?
15hr
16-Jul-15
Level 3
Exercise 15
4. In a school there were 1200 pupils (boys and girls).
A sample of 100 pupils was selected at random and 45
boys were found in the sample.
Which of these is the most likely to be the number of
boys in the school?
A ) 450
B ) 500
C) 540
D) 600
C
16-Jul-15
Level 3
Exercise 16
1. The table below shows the number of planes arriving
at an airport from different parts of the world
during one month.
Arrivals from
Number of Planes
Asia
100
Europe
200
Far East
180
North America
260
Other Countries
160
Total
900
What is the probability
that a plane chosen at
random arrived from Asia?
1/9
16-Jul-15
Level 3
Exercise 16
2. Morag walks to school.
Her house is 3 km from school and she takes 15 minutes
to walk to school.
Calculate her speed in km/hour.
12km/h
16-Jul-15
Level 3
Exercise 16
3. The temperature in London is 8°C.
The temperature in Moscow is 20 degrees colder than
the temperature in London.
What is the temperature in Moscow?
-12degrees
16-Jul-15
Level 3
Exercise 16
4.
21 litres of water are mixed with 3 litres of orange
concentrate to make an orange drink.
Work out the ratio of water to orange concentrate.
Write the ratio in its simplest form.
7:1
16-Jul-15
Level 3
Exercise 17
1.
Bundles of concert programmes were given to five classes – A, B, C,
D and E.
•
•
•
•
There were enough programmes to give one to each child.
Class A had the least number of children in the class.
Each of the other classes had 1 more child on the register
than the previous class.
150 programmes were handed out altogether.
How many children were in each class?
28, 29, 30, 31, 32
16-Jul-15
Level 3
Exercise 17
2. A market researcher approaches people at random in a
street. What is the probability that the next person
chosen at random will have a birthday on 5th
November?
A 1 in 7
B 1 in 12
C 1 in 30
D 1 in 52
E 1 in 365
E
16-Jul-15
Level 3
Exercise 17
3.
There are 1200 fish in a pond.
8% die from disease.
How many fish die from disease?
96
16-Jul-15
Level 3
Exercise 17
4. A car travels 11 miles at an average speed of 44 mph.
How many minutes does this journey take?
15 Mins
16-Jul-15
Level 3
Exercise 18
1. A computer package is priced at £1415.
It can be bought for a £200 deposit and 9 equal
monthly instalments.
How much would each monthly instalment be?
£135
16-Jul-15
Level 3
Exercise 18
2. To have a turn on the bouncy castle you must be
taller than 90 cm.
Who can have a turn on the bouncy castle?
Aiden & Bertha
16-Jul-15
Level 3
Exercise 18
3.
To get money from a cash machine you need a card and a four digit
Personal Identification Number (PIN).
Sarah can’t remember her PIN but she knows :
•
•
her PIN contains the digits 1, 6, 8 and 9
1 is the first digit.
How many different numbers must she try to be sure of getting
the correct number?
(List all the possible PINs to find the answer.)
6
16-Jul-15
Level 3
Exercise 18
4. A delivery of potatoes weighs 300 kg.
12% are found to be rotten and have to be thrown out.
What weight is thrown out?
36kg
16-Jul-15
Level 3
Exercise 19
1. You put £500 into a bank account.
In a year your money increases by 9%.
Calculate this increase.
45
16-Jul-15
Level 3
Exercise 19
2. Mum puts on the oven to heat up for 15 minutes.
She then puts in the chicken.
The chicken takes 2 hours to cook.
It is ready at 3 o’clock.
When was the oven put on?
12.45pm
16-Jul-15
Level 3
Exercise 19
3. The price of some items is reduced in a sale.
Was
SALE PRICE
Ladder
£64·30
£61·52
Drill
£23·28
£21·64
Hammer
£11·99
£7·34
£1.64
How much would I save in the sale if I bought a drill?
16-Jul-15
Level 3
Exercise 19
4. Linda can jog 3 kilometres in 10 minutes.
If she keeps up the same pace.
How far will she jog in 1 hour?
18km
16-Jul-15
Level 3
Exercise 20
1.
85 pupils go on a school trip.
40% of the pupils are boys.
How many boys are on the trip?
34
16-Jul-15
Level 3
Exercise 20
2. A security padlock for a bicycle has a code made up of
4 numbers.
Three of the digits are even and one is odd.
When you add the four digits together their total is 25.
Which of the codes is the correct one?
A
9,8,6,4
B
9,1,8,7
C
4,8,8,7
D
4,8,7,6
D
16-Jul-15
Level 3
Exercise 20
3.
A train was due to arrive at 1:50 pm.
It was 37 minutes late.
When did it arrive?
2.27pm
16-Jul-15
Level 3
Exercise 20
4.
I think of a number, add 13 and double that.
My answer is 134.
What number did I think of?
54
16-Jul-15
Level 3
Exercise 20
1.
B