1.1Here is part of Jos electricity bill.

Work out how much Jo has to pay for the units she has used. ..............................................................(Total for Question 7 is 4 marks)June 2012 Unit 2 (Modular) Higher Non-Calculator Q7

1.2 Grant drives a lorry to deliver some equipment from a factory to a hospital.The distance from the factory to the hospital is 200 miles.

The lorry uses one litre of fuel to go 5 miles.A litre of fuel for the lorry costs 1.50

Work out the total cost of the fuel the lorry used...............................................(Total for Question 2 is 3 marks)March 2013 Unit 2 (Modular) Higher Non-Calculator Q2

2.1Sandy has a 4-sided spinner.The sides of the spinner are labelled A, B, C and D.The spinner is biased.The table shows the probability that the spinner will landon A or on B or on C.

SideABCD

Probability0.150.320.27

(a) Work out the probability that the spinner will land on D.(2)Sandy spins the spinner 300 times.(b) Work out an estimate for the number of times the spinner will land on A.(2)June 2012 Unit 1 (Modular) Higher Calculator Q1

2.2Priya is raising money for a charity by selling tomato plants that she has grown from seeds.She sells 48 tomato plants for 1.35 each.

Priya keeps 15% of the money she gets to pay for the growbags and seeds that she used.She sends the rest of the money to the charity.How much money did she send to the charity? ...............................(Total for Question 3 is 6 marks)November 2011 Unit 2 (Modular) Higher Non-Calculator Q3

2.3Fatima bought 48 teddy bears at 9.55 each.

She sold all the teddy bears for a total of 696.She sold each teddy bear for the same price.

Work out the profit that Fatima made on the teddy bears. (Total for Question 5 is 4 marks)Practice Paper Set A Unit 2 (Modular) Higher Non-calculator Q53.1 Using the information that170.2 4.6 = 37write down the value of(a) 1702 4.6(1)(b) 170.2 460(1)(c) 3.7 4.6(1)November 2012 Unit 2 (Modular) Higher Non-Calculator Q73.2Bethanusesthis formula to work out her gas bill

Cost=Fixed charge + Cost per unit units used

Last month the Cost of her gas bill was 165Her fixed charge was 45The cost per unit was 50pHow many units did she use?(Total for Question 2 is 3 marks)Practice Paper Set A Unit 2 (Modular) Higher Non-calculator Q2

6.1Work out + Give your answer in its simplest form.(Total for Question 4 is 2 marks)June 2012 Unit 2 (Modular) Higher Non-Calculator Q4

6.2Work out + (Total for Question 1 is 2 marks)November 2011 Unit 2 (Modular) Higher Non-Calculator Q1

6.3All of the students in a science class went to one revision class.

of the students went to the physics revision class.

of the students went to the biology revision class.All of the other students went to the chemistry revision class.What fraction of the students went to the chemistry revision class? (Total for Question 1 is 3 marks)Practice Paper Set A Unit 2 (Modular) Higher Non-calculator Q1*6.4Susan has 2 dogs

Each dog is fed kg of dog food each day.Susan buys dog food in bags that each weigh 14kg.

For how many days can Susan feed the dogs from 1 bag of dog food?You must show allyour working... days(Total for Question 7 is 5 marks)Practice Paper Set C Unit 2 (Modular) Higher Non-calculator Q7

6.5 Work out (Total for Question 3 is 2 marks)March 2013 Unit 2 (Modular) Higher Non-Calculator Q37.1Work out 15% of 80 (Total for Question 3 is 2 marks)November 2010 Unit 2 (Modular) Higher Non-calculator Q3

7.2Lydia is buying a ring.The ring costs 60She pays a deposit of 40%.

Work out how much she pays as the deposit. ........................................................(2)June 2011 Unit 2 (Modular) Higher Non- Calculator Q3

7.3 A TV costs 400Peter pays a deposit of 15%.How much does Peter still have to pay for the TV?

(Total for Question 5 is 3 marks)June 2012 Unit 2 (Modular) Higher Non-Calculator Q5

7.4A shop sells freezers and cookers.The ratio of the number of freezers sold to the number of cookers sold is 5 : 2The shop sells a total of 140 freezers and cookers in one week.

*(a) Work out the number of freezers and the number of cookers sold that week.(3)Jake buys this freezer in a sale.The price of the freezer is reduced by 20%.

(b) Work out how much Jake saves.

(2)(Total for Question 3 is 5 marks)March 2011 Unit 1 (Modular) Higher Calculator Q37.5There are 200 counters in a bag.The counters are blue or red or yellow.35% of the counters are blue.

of the counters are red.Work out the number of yellow counters in the bag. (Total for Question 3 is 4 marks)June 2013 Unit 2 (Modular) Higher Non-Calculator Q37.6One day a supermarket has 8420 customers.65% of the customers pay with a debit card.

of the customers pay with a credit card.The rest of the customers pay with cash.Work out how many customers pay with cash. (Total for Question 2 is 4 marks)November 2013 Unit 3 (Modular) Higher Calculator Q2

8.1 Graham and Michael share 35 in the ratio 5 : 2Work out the amount of money that Graham gets. (Total for Question 3 is 2 marks)June 2012 Unit 2 (Modular) Higher Non-Calculator Q3

8.2Grace and Jack share 140 in the ratio 3 : 4Work out the amount of money that Jack gets. (Total for Question 1 is 2 marks)November 2010 Unit 2 (Modular) Higher Non-calculator Q1

8.3A pile of sand has a weight of 60 kg.The sand is put into a small bag, a medium bag and a large bag in the ratio 2 : 3 : 7Work out the weight of sand in each bag. small bag .................................kg

medium bag................................. kg

large bag.................................kg(Total for Question 2 is 3 marks)November 2011 Unit 1 (Modular) Higher Calculator Q28.4There are some sweets in a bag.18 of the sweets are toffees.12 of the sweets are mints.(a)Write down the ratio of the number of toffees to the number of mints.Give your ratio in its simplest form. (2)There are some oranges and apples in a box.The total number of oranges and apples is 54The ratio of the number of oranges to the number of apples is 1 : 5(b)Work out the number of apples in the box. (2)Practice Paper Set C Unit 1 (Modular) Higher Calculator Q7

*8.5Mrs Collins is organising a school trip.120 students are going on the trip.

The ratio of the number of staff to the number of students must be 1 : 15

Mrs Collins books three coaches for the trip.Each coach has 42 seats.

Are there enough seats for all the students and staff?You must show all your working.

(Total for Question 2 is 4 marks)March 2012 Unit 1 (Modular) Higher Calculator Q2

8.6Ali, Ben and Candice share 300 in the ratio 2 : 3 : 5

How much money does Candice get? (Total for Question 2 is 2 marks)March 2011 Unit 2 (Modular) Higher Non-calculator Q2

8.7Build-a-mix makes concrete.1 cubic metre of concrete has a weight of 2400 kg.15% of the concrete is water.The rest of the ingredients of concrete are cement, sand and stone.The weights of these ingredients are in the ratio 1 : 2 : 5(a)Work out the weight of cement, of sand and of stone in 1 cubic metre of concrete. cement = .............................................................. kgsand = .............................................................. kgstone = .............................................................. kg(4)

Build-a-mix needs to make 30 cubic metres of concrete.Build-a-mix has only got 6.5 tonnes of cement. * (b)Will this be enough cement for Build-a-mix to make 30 cubic metres of concrete?You must show all of your working. (3) June 2011 Unit 1 (Modular) Higher Calculator Q3

9.15 identical calculators cost a total of 31.75Work out the cost of 7 of these calculators. (Total for Question 1 is 2 marks)Mock paper Unit 3 (Modular) Higher Calculator Q1

9.2Here is a list of ingredients needed to make 12 scones.

Ingredients for 12 scones220 g self-raising flour40g butter150 ml milk2 tablespoons sugar

Viv is making scones for 15 people.She is making 2 scones for each person.Work out the amount of each ingredient she needs.

Self-raisingflour ..............................................................gButter ..............................................................gMilk ..............................................................mlTablespoons of sugar ...................................................................(Total for Question 1 is 3 marks)March 2012 Unit 2 (Modular) Higher Non-Calculator Q1

9.3 Richards car uses 1 litre of petrol every 8 miles.Petrol costs 1.30 per litre.Richard drives 240 miles.Work out the total cost of the petrol the car uses. .............................................(Total for Question 1 is 3 marks)November 2012 Unit 2 (Modular) Higher Non-Calculator Q1

9.4A small photograph has a length of 4 cm and a width of 3 cm.Shez enlarges the small photograph to make a large photograph.

The large photograph has a width of 15 cm.

Small photograph Large photograph

The two photographs are similar rectangles.Work out the length of the large photograph. (Total for Question 1 is 3 marks)June 2012 Unit 3 (Modular) Higher Calculator Q1

9.5Stacey went to the theatre in Paris.Her theatre ticket cost 96The exchange rate was 1 = 1.20(a)Work out the cost of her theatre ticket in pounds (). (2)Stacey bought a handbag in Paris.The handbag cost 64.80In Manchester, the same type of handbag costs 52.50The exchange rate was 1 = 1.20

*(b) Compare the cost of the handbag in Paris with the cost of the handbag in Manchester.(3)June 2012 Unit 1 (Modular) Higher Calculator Q2

9.6Here are the ingredients needed to make 16 chocolate biscuits.

Chocolate biscuits

Makes 16 chocolate biscuits

100 gof butter50 gof caster sugar120 gof flour15 gof cocoa

Sabrina has250 gof butter300 gof caster sugar600 gof flourand60 gof cocoa

Work out the greatest number of chocolate biscuits Sabrina can make.You must show your working. (Total for Question 5 is 3 marks)June 2013 Unit 2 (Modular) Higher Non-Calculator Q5

9.7 Lewis has a copper pipe with a length of 150 cm and a mass of 800 grams.He cuts a piece of the copper pipe with a length of 90 cm.Work out the mass of this piece of copper pipe.............................................. grams(Total for Question 4 is 2 marks)November 2013 Unit 3 (Modular) Higher Calculator Q4

*10.1Wheat biscuits of the same size can be bought in large boxes, medium boxes and smallboxes.

A large box costs 3.69 and contains 48 biscuits.A medium box costs 1.78 and contains 24 biscuits.A small box costs 1.14 and contains 12 biscuits.

Which size of box is the best value for money?Explain your answer.You must show all your working.(Total for Question 3 is 4 marks)Mock paper Unit 3 (Modular) Higher Calculator Q3

*10.2Gordon owns a shop.Here are the prices of three items in Gordons shop and in a Supermarket.Gordons Shop

400 g loaf of bread 1.221 litre of milk 0.9640 tea bags 2.42

Supermarket

400 g loaf of bread 1.151 litre of milk 0.8640 tea bags 2.28

Gordon reduces his prices by 5%.Will the total cost of these three items be cheaper in Gordons shop than in the Supermarket?(Total for Question 4 is 3 marks)November 2012 Unit 3 (Modular) Higher Calculator Q4

*10.3Margaret is in Switzerland.The local supermarket sells boxes of Reblochon cheese.

Each box of Reblochon cheese costs 3.10 Swiss francs.It weighs 160 g.In England, a box of Reblochon cheese costs 13.55 per kg.The exchange rate is 1 = 1.65 Swiss francs.Work out whether Reblochon cheese is better value for money in Switzerland or in England.(Total for Question 5 is 4 marks)November 2010 Unit 1 (Modular) Higher Calculator Q5

*10.4Soap powder is sold in three sizes of box.

A 2 kg box of soap powder costs 1.89A 5 kg box of soap powder costs 4.30A 9 kg box of soap powder costs 8.46

Which size of box is the best value for money?Explain your answer.You must show all your working.(Total for Question 5 is 4 marks)June 2012 Unit 3 (Modular) Higher Calculator Q5

11.1Work out an estimate for (Total for Question 5 is 3 marks)Practice Paper Set C Unit 2 (Modular) Higher Non-calculator Q5

11.2Work out an estimate for the value of . (Total for Question 8 is 2 marks)November 2013 Unit 2 (Modular) Higher Non-Calculator Q8

12.1(a) Simplify 4b 2c (1)(b) Expand 3(2w 5t)(2)(c) Expand and simplify (x + 7)(x 2)[Grade C](2)November 2010 Unit 2 (Modular) Higher Non-calculator Q2

12.2(a) Simplify2e 8f + 6e + 3f(2)(b) Factorise 4t + 10[Grade C](1)(c) Expand and simplify 3 + 2( p 1)(2)(d) Factorise ax+ bx+ ay + by[Grade B](2)March 2012 Unit 2 (Modular) Higher Non-Calculator Q5

12.3 Here are the first five terms of an arithmetic sequence.4 11 18 25 32(a) Write down, in terms of n, an expression for the nth term of this sequence.(2)An expression for the nth term of another sequence is 3n2 1(b) Find the fourth term of this sequence.(2)November 2012 Unit 2 (Modular) Higher Non-Calculator Q812.4 A taxi company uses this formula to calculate taxi fares.

f = 7d2 + 320

wheref is the taxi fare, in pence, and d is the distance travelled, in km.Aziz uses this taxi company to travel a distance of 8 km.Work out the taxi fare. (Total for Question 2 is 3 marks)March 2013 Unit 3 (Modular) Higher Calculator Q212.5t = x2 5yx = 6y = 4

Work out the value of t. (Total for Question 3 is 2 marks)November 2013 Unit 2 (Modular) Higher Non-Calculator Q3

13.1Brian is x years old.Peter is 4 years older than Brian.Amy is 2 years younger than Brian.The total of their ages is 26 years.Work out the value of x.(Total for Question 2 is 4 marks)November 2012 Unit 3 (Modular) Higher Calculator Q2

13.2Here is a parallelogram.

x cm

The height of the parallelogram is x cm.The perimeter of the parallelogram is 44 cm.

The length of the parallelogram is three times as long as the height.The slant length of the parallelogram is 2 cm longer than the height.

Find the area of the parallelogram. cm2(Total for Question 3 is 5 marks)Practice Paper Set A Unit 3 (Modular) Higher Calculator Q3

13.3 k = 3e + 5(a)Work out the value of k when e = 2 (2)(b)Solve4y + 3 = 2y + 14 (2)(c)Solve3(x 5) = 21 (2)3