1.1 (a) Express 54 as a product of its prime factors.
(2)
(b) Find the Lowest Common Multiple (LCM) of 45 and 54
(2)
November 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q4
1.2 Find the Lowest Common Multiple (LCM) of 8 and 12
(Total for Question 5 is 2 marks)
November 2010 – Unit 2 (Modular) – Higher – Non-calculator – Q5
1.3 (a) Express 48 as a product of its prime factors.
(2)
Buses to Exeter leave a bus station every 20 minutes.
Buses to Plymouth leave the bus station every 16 minutes.
A bus to Exeter and a bus to Plymouth both leave the bus station at 8 a.m.
(b) When will buses to Exeter and Plymouth next leave the bus station at the same time?
(3)
June 2011 – Unit 2 (Modular) – Higher –Non- Calculator – Q3
1.4 Veena bought some food for a barbecue.
She is going to make some hot dogs.
She needs a bread roll and a sausage for each hot dog.
There are 40 bread rolls in a pack.
There are 24 sausages in a pack.
Veena bought exactly the same number of bread rolls and sausages.
(i) How many packs of bread rolls and packs of sausages did she buy?
...……………………………. packs of bread rolls
...…………………………… packs of sausages.
(ii) How many hot dogs can she make?
...……………………………. hot dogs
(Total for Question 4 is 5 marks)
March 2011 – Unit 2 (Modular) – Higher – Non-calculator – Q4
2.1 (a) Work out 4.52
(2)
(b) Write as a power of 4
(i) 45 × 47
(1)
(ii) (45)3
(1)
(c)
Find the value of n. [Grade A]
(1)
Practice Paper Set B – Unit 2 (Modular) – Higher – Non-calculator – Q2
2.2 (a) Simplify 54 × 56
(1)
(b) Simplify 75 ÷ 72
(1)
November 2013 – Unit 2 (Modular) – Higher – Non-Calculator – Q2
4.1 (a) Work out
(2)
(b) Work out 2 + 5
(3)
Practice Paper Set A – Unit 2 (Modular) – Higher – Non-calculator – Q6
6.1 Last year, Jora spent
30% of his salary on rent
of his salary on entertainment
of his salary on living expenses.
He saved the rest of his salary.
Jora spent £3600 on living expenses.
Work out how much money he saved.
(Total for Question 15 is 5 marks)
November 2010 – Unit 2 (Modular) – Higher – Non-calculator – Q9
6.2 Mrs Jennings shares £770 between her two sons, Pete and Tim.
She shares the money in the ratio of her sons’ ages.
The combined age of her two sons is 66 years.
Pete is 6 years younger than Tim.
Work out how much money each son gets.
You must show all your working. Pete £ ......
Tim £ ......
(Total for Question 10 is 5 marks)
November 2011 – Unit 2 (Modular) – Higher – Non-Calculator – Q10
*6.3 Edgar had a maths test and a science test.
He got 68% in the maths test.
He got 36 out of 55 in the science test.
Which test did Edgar get the better mark in, maths or science?
(3)
Mock paper – Unit 3 (Modular) – Higher – Calculator – Q5
6.4 A company sends every item of mail by second class post.
Each item of mail is either a letter or a packet.
The tables show information about the cost of sending a letter by second class post and the cost of sending a packet by second class post.
Letter / PacketWeight range / Second Class / Weight range / Second Class
0 – 100 g / 32p / 0 – 100 g / £1.17
101 – 250 g / £1.51
251 – 500 g / £1.95
501 – 750 g / £2.36
751 – 1000 g / £2.84
The company sent 420 items by second class post.
The ratio of the number of letters sent to the number of packets sent was 5 : 2
of the packets sent were in the weight range 0 – 100 g.
The other packets sent were in the weight range 101 – 250 g.
Work out the total cost of sending the 420 items by second class post.
(Total for Question 7 is 5 marks)
November 2010 – Unit 1 (Modular) – Higher – Calculator – Q7
6.5 Bill gives away £20 000 to help animals.
He gives 20% of the £20 000 to a donkey sanctuary.
He shares the rest of the £20 000 between a dogs’ home and a cats’ home in the ratio 3 : 2
How much money does Bill give to the cats’ home?
£......
(Total for Question 6 is 4 marks)
March 2013 – Unit 2 (Modular) – Higher – Non-Calculator – Q6
7.1 A cooker costs £650 plus 20% VAT.
(a) Calculate the total cost of the cooker. (3)
A washing machine has a price of £260
In a sale its price is reduced by £39
(b) Write the reduction as a percentage of the price.
...... %
(2)
3 kitchen chairs cost a total of £44.79
(c) Work out the total cost of 8 of these chairs. (2)
June 2012 – Unit 3 (Modular) – Higher – Calculator – Q4
7.2 £500 is invested at a simple interest rate of 3% per year.
After how many years is the total interest £60?
(Total for Question 2 is 3 marks)
June 2012 – Unit 3 (Modular) – Higher – Calculator – Q2
7.3 John earns £30 000 each year.
He knows that 20% of his monthly pay is deducted each month.
Work out how much money John has left each month after this deduction.
£ ......
(3)
March 2012 – Unit 2 (Modular) – Higher – Non-Calculator – Q6
*7.4 Jim buys 6 trays of Cola for £9.99 a tray.
Each tray holds 24 cans of Cola.
Jim goes to the school fete to sell his Cola.
He sells 75 cans at 80p each.
He gives 10 cans to his friends.
He sells the rest at 50p each.
What is Jim’s percentage profit or loss?
Give your answer to 1 decimal place.
(Total for Question 9 is 5 marks)
Practice Paper Set B – Unit 3 (Modular) – Higher – Calculator – Q9
7.5 Petra booked a family holiday.
The total cost of the holiday was £3500 plus VAT at 20%.
Petra paid £900 of the total cost when she booked the holiday.
She paid the rest of the total cost in 6 equal monthly payments.
Work out the amount of each monthly payment.
(Total for Question 7 is 5 marks)
June 2013 – Unit 3 (Modular) – Higher – Calculator – Q7
*8.1 Sam is going to paint his garden shed.
The paint is sold in two different shops.
Sam needs 7.5 litres of paint.
Sam wants to buy the cheapest paint.
He is going to buy the paint from one of these shops.
Which shop should he buy the paint from?
You must show your working.
(Total for Question 8 is 4 marks)
November 2012 – Unit 3 (Modular) – Higher – Calculator – Q8
*8.2 Debra and Mark are planning to go on a cruise.
They can travel with one of two companies, Caribbean Calypso or Royal European.
The table shows the cost per person to travel with each company.
Type of cabinInside / Outside / Balcony / Suite
Cost per person / Caribbean Calypso / £1136 / £1319 / £1529 / £2329
Royal European / £1043 / £1263 / £1484 / £2147
Caribbean Calypso has a discount of 10% if you book online.
Royal European has a discount of 5% if you book online.
Debra and Mark are going to book a suite for their cruise.
They are going to book online.
Debra and Mark want to pay the lowest possible cost.
Which company should they choose?
You must show all your working. (2)
March 2012 – Unit 1 (Modular) – Higher – Calculator – Q4
*8.3 Jon and Alice are planning a holiday.
They are going to stay at a hotel.
The table shows information about prices at the hotel.
Price per person per night (£) / Dinner(£)Double room / Single room / per person per day
01 Nov – 29April / 59.75 / 118.00 / 31.75
30 April – 08 July / 74.25 / 147.00 / 31.00
09 July – 29 Aug / 81.75 / 161.75 / 31.00
30 Aug – 31 Oct / 74.25 / 147.00 / 31.00
Saver Prices
5 nights for the price of 4 nights from 1st May to 4th July.
3 nights for the price of 2 nights in November.
Jon and Alice will stay in a double room.
They will eat dinner at the hotel every day.
They can stay at the hotel for 3 nights in June or 4 nights in November.
Which of these holidays is cheaper?
(Total for Question 8 is 5 marks)
March 2011 – Unit 1 (Modular) – Higher – Calculator – Q8
8.4 The table shows the costs, per person, of a holiday at two different hotels.
It shows the cost for 5 nights and the cost for each extra night.
It also shows the discount for each child.
ParkPalace / Dubai GrandDate holiday starts / 5 nights / extra
night / 5 nights / extra
night
01 Jan – 31 Mar / £1169 / £150 / £849 / £86
01 Apr – 09 Apr / £1229 / £150 / £1219 / £95
10 Apr – 15 Jul / £810 / £80 / £853 / £53
16 Jul – 20 Aug / £810 / £80 / £854 / £53
21 Aug – 10 Dec / £810 / £80 / £869 / £94
Discount for each child / off / 15% off
There are two adults and two children in the Smith family.
The family want a holiday for 7 nights, starting on 1st August.
One hotel will be cheaper for them than the other hotel.
Work out the cost of the cheaper holiday.
You must show all your working.
(Total for Question 8 is 6 marks)
March 2011 – Unit 2 (Modular) – Higher – Non-calculator – Q8
*8.5 Mr and Mrs Jones are planning a holiday to the Majestic Hotel in the Cape Verde Islands.
The table gives information about the prices of holidays to the Majestic Hotel.
MAJESTIC HOTEL, Cape VerdeIslandsDepartures / Price per adult
7 nights / 14 nights
1 Jan – 8 Jan / £694 / £825
9 Jan – 28 Jan / £679 / £804
29 Jan – 5 Feb / £687 / £815
6 Feb – 18 Feb / £769 / £835
19 Feb – 8 Mar / £714 / £817
9 Mar – 31 Mar / £685 / £805
1 Apr – 9 Apr / £788 / £862
10 Apr – 30 Apr / £748 / £802
Price per child: 95% of adult price for 7 nights or 85% of adult price for 14 nights.
Mr and Mrs Jones are thinking about going on holiday
on 20 February for 7 nights
or on 10 April for 14 nights.
Mr and Mrs Jones have 2 children.
Compare the costs of these two holidays for the Jones family.
(Total for Question 2 is 5 marks)
November 2010 – Unit 1 (Modular) – Higher – Calculator – Q2
*8.6 Pete and Sue are going to take their children to France.
They will travel together on the same ferry.
They will travel with one of two ferry companies, Easy Ferry or Seawagon.
The tables give information about the costs for each adult and each child to travel with these ferry companies.
Easy Ferry / July / AugustDate / 1 – 10 / 11 – 21 / 22 – 31 / 1 – 10 / 11 – 21 / 22 – 31
Adult / £32.00 / £36.50 / £39.50 / £42.25 / £42.25 / £37.75
Child / £18.00 / £20.25 / £23.75 / £25.85 / £25.85 / £21.00
Seawagon / July / August
Date / 1 – 10 / 11 – 21 / 22 – 31 / 1 – 10 / 11 – 21 / 22 – 31
Adult / £33.50 / £37.50 / £40.25 / £43.85 / £44.95 / £38.50
Child / £17.25 / £19.75 / £21.85 / £24.65 / £23.95 / £19.95
The table below gives information about the discount they will get from each ferry company if they book early.
Early booking discountEasy Ferry / off
Seawagon / 25% off
Pete and Sue have three children.
They will travel on 25 July.
They will book early.
Pete and Sue will travel with the cheaper ferry company.
Which ferry company?
You must show all your working.
(5)
June 2012 – Unit 1 (Modular) – Higher – Calculator – Q4
*8.7 Joan is planning a skiing holiday in Hinterglemm for herself and her two children.
They are going skiing for 6 days.
The table shows the costs of ski hire, of boot hire and of buying lift passes in two shops in Hinterglemm.
All prices are in Euros.
Shop A
Ski hire / Boot hire / Lift passAdult / 6 days / 111 / 53 / 236
13 days / 168 / 90 / 314
Child / 6 days / 78 / 52 / 165
13 days / 122 / 87 / 210
Shop B
Ski hire / Boot hire / Lift passAdult / 6 days / 108 / 54 / 242
13 days / 170 / 89 / 324
Child / 6 days / 68 / 48 / 160
13 days / 118 / 85 / 205
Joan will use her own skis and her own boots.
For 6 days she will need
to hire skis for each of her two children