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Deepa
Subject: Maths
, asked on 8/11/17
Ben bought 12 litres of petrol for £7.08.
(a) How much would 40 litres of petrol cost?
(b) How much petrol could be bought for £10?
Answer
1
Deepa
Subject: Maths
, asked on 8/11/17
A greengrocer sells potatoes by the kilogram. She sells 5 kg of potatoes for 60p.
Find the cost of:
(a) 7 kg of potatoes,
(b) 20 kg of potatoes,
(c) 2 kg of potatoes.
Answer
1
Deepa
Subject: Maths
, asked on 8/11/17
Ribbon is sold from a roll. Rachel buys 3 m for £1.71. Find the cost of each
length of ribbon below.
(a) 5 m
Answer
1
Deepa
Subject: Maths
, asked on 8/11/17
In packets of sweets, chocolate covered peanuts are mixed with solid chocolate
sweets in the ratio 1 : 3. How many sweets are there in a packet that contains
20 chocolate covered peanuts?
Answer
1
Deepa
Subject: Maths
, asked on 25/9/17
List all the integers which satisfy
− 2 < n ≤ 3.
(b) Ajaz said, "I thought of an integer, multiplied it by 3 then subtracted 2.
The answer was between 47 and 62."
List the integers that Ajaz could have used.
Answer
1
Deepa
Subject: Maths
, asked on 25/9/17
In an office, the temperature, F (in degrees Fahrenheit), must satisfy the inequality 60 ≤ F ≤ 70. The temperature, F, is related to the temperature, C (in degrees Centigrade), by F = 32 + 9C/5 Write down an inequality which involves C and solve this inequality.
Answer
2
Deepa
Subject: Maths
, asked on 25/9/17
A man finds that his electricity bill varies between £50 and £90.
(a) If C represents the size of his bill, write down an inequality involving C.
The bill is made up of a standing charge of £10 and a cost of 10p per kilowatt hour
of electricity.
(b) If n is the number of kilowatt hours used, write down a formula for C in
terms of n.
(c) Using your formula, write down an inequality involving n and solve this
inequality
Answer
1
Deepa
Subject: Maths
, asked on 25/9/17
The distance that a car can travel on a full tank of petrol varies between 200 and
320 miles.
(a) If m represents the distance (in miles) travelled on a full tank of petrol, write
down an inequality involving m.
(b) Distances in kilometres, k, are related to distances in miles by
m = 5k/8
.Write down an alternative inequality involving k instead of m.
(c) How many kilometres can the car travel on a full tank of petrol?
Answer
2
Deepa
Subject: Maths
, asked on 25/9/17
Chris runs a barber's shop. It costs him £20 per day to cover his expenses and he
charges £4 for every hair cut.
(a) Explain why his profit for any day is £ ( 4x − 20), where x is the number of
haircuts in that day.
He hopes to make at least £50 profit per day, but does not intend to make more than
£120 profit.
(b) Write down an inequality to describe this situation.
(c) Solve the inequality.
Answer
1
Deepa
Subject: Maths
, asked on 25/9/17
he diagram shows an artificial lake. When Amanda jogged twice around the
lake, she jogged a distance of 2,700 meters. Find the value of X.
Answer
1
Deepa
Subject: Maths
, asked on 25/9/17
12. (a) Write, in symbols, the rule, To find y, double x and add 1.
(b) Use your rule from part (a) to calculate the value of x when y = 9.
Answer
1
Deepa
Subject: Maths
, asked on 25/9/17
A driver travels 80 miles to a motorway and then travels at a steady 60 mph for
x hours. Write down and solve equations involving x if the driver travels a total of
(a) 290 miles (b) 220 miles.
Give your answers in hours and minutes.
Answer
1
Deepa
Subject: Maths
, asked on 25/9/17
A rope of length 10 m is used to mark out a rectangle, so that the two long sides are
1 m longer than the short sides. If x is the length of the short sides, write down an
equation to describe this situation and hence find x.
Answer
1
Deepa
Subject: Maths
, asked on 15/9/17
Three brothers divide £20 between them so that they each have exactly the
same amount of money. A small amount is left over.
(a) What is the largest amount they can each receive?
(b) How much money is left over?
Answer
3
Deepa
Subject: Maths
, asked on 15/9/17
4. A teacher buys a chocolate bar for each child in her class. The bars cost 34p
each. There are 31 children in her class.
(a) How much does she spend?
(b) How much change does she get from a £20 note?
Answer
2
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Next
What are you looking for?
(a) How much would 40 litres of petrol cost?
(b) How much petrol could be bought for £10?
Find the cost of:
(a) 7 kg of potatoes,
(b) 20 kg of potatoes,
(c) 2 kg of potatoes.
length of ribbon below.
(a) 5 m
sweets in the ratio 1 : 3. How many sweets are there in a packet that contains
20 chocolate covered peanuts?
− 2 < n ≤ 3.
(b) Ajaz said, "I thought of an integer, multiplied it by 3 then subtracted 2.
The answer was between 47 and 62."
List the integers that Ajaz could have used.
(a) If C represents the size of his bill, write down an inequality involving C.
The bill is made up of a standing charge of £10 and a cost of 10p per kilowatt hour
of electricity.
(b) If n is the number of kilowatt hours used, write down a formula for C in
terms of n.
(c) Using your formula, write down an inequality involving n and solve this
inequality
320 miles.
(a) If m represents the distance (in miles) travelled on a full tank of petrol, write
down an inequality involving m.
(b) Distances in kilometres, k, are related to distances in miles by
m = 5k/8
.Write down an alternative inequality involving k instead of m.
(c) How many kilometres can the car travel on a full tank of petrol?
charges £4 for every hair cut.
(a) Explain why his profit for any day is £ ( 4x − 20), where x is the number of
haircuts in that day.
He hopes to make at least £50 profit per day, but does not intend to make more than
£120 profit.
(b) Write down an inequality to describe this situation.
(c) Solve the inequality.
lake, she jogged a distance of 2,700 meters. Find the value of X.
(b) Use your rule from part (a) to calculate the value of x when y = 9.
x hours. Write down and solve equations involving x if the driver travels a total of
(a) 290 miles (b) 220 miles.
Give your answers in hours and minutes.
1 m longer than the short sides. If x is the length of the short sides, write down an
equation to describe this situation and hence find x.
same amount of money. A small amount is left over.
(a) What is the largest amount they can each receive?
(b) How much money is left over?
each. There are 31 children in her class.
(a) How much does she spend?
(b) How much change does she get from a £20 note?