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Formulas 

Level 2Date:

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Questions

Q1. 

Jane plans to make some improvements to her garden.

She has a plant pot in the shape of a cylinder. The pot has diameter 38 cm and height 40 cm.

Jane wants to completely fill the pot with compost. Compost is sold in 20 litre bags.

Jane uses this formula for the volume of the cylinder.

1 litre = 1000 cm3

Jane thinks she needs 2 bags of compost to completely fill the pot.

(a)  Are 2 bags of compost enough to fill the pot?

Show a check of your working.(5)

Use the space below to show clearly how you get your answer.

Use the space below to show your check.

Jane buys the compost from a garden centre.

The checkout assistant sells tickets for a prize draw. Jane buys 5 tickets.

1000 tickets are sold in total.

One ticket picked at random will win a prize.

(b)  What is the probability that Jane will win the prize?

Write your answer as a fraction in its simplest form.(2)

Use the space below to show clearly how you get your answer.

(Total for question = 7 marks) 

Q2. 

Tim needs to buy gravel to make a base for the hut to stand on.

Tim draws a sketch of the base.

The depth of the gravel will be 0.07 metres.

Tim uses this formula to work out how much gravel he needs.

Tim orders 5 m3 of gravel.

(a)  Has Tim ordered enough gravel?

(6)Use the space below to show clearly how you get your answer.

Tim is going to put a patio outside the hut. The patio will be in the shape of a rectangle with length 7.2 m and width 6 m.

Tim is going to use paving stones to make the patio. Each paving stone is square with sides of 600 mm.

Tim has already got 110 paving stones.

(b)  Does Tim need to buy more paving stones?

(3)Use the space below to show clearly how you get your answer.

(Total for question = 9 marks)

Q3. 

Carlos wants to build a pond in his garden.

He digs a hole for the pond

  4.2 m long   2.4 m wide   75 cm deep.

Carlos wants to buy a liner for the pond. He finds this formula to work out the dimensions of the liner he needs.

Carlos sees three different pond liners in a garden centre.

(a)  Which liner should Carlos buy?

Show why you think this.(3)

Use the space below to show clearly how you get your answer.

Carlos needs to buy equipment for his garden pond.

He needs to buy 2 cables and 1 of each of the other items.

Carlos uses a voucher for off the cost of the pond liner.

(b)  How much will Carlos pay in total?

Show a check of your working.(4)

Use the space below to show clearly how you get your answer.

Use the space below to show your check.

Carlos lines the pond and needs to fill it with water.

He works out the pond will hold 5900 litres of water.

Carlos knows

  the rate of flow of water from his garden hose is 10 gallons per minute   1 gallon is 4.5 litres.

He thinks it will take about 2 hours to put 5900 litres of water into the pond.

(c)  Is Carlos correct?

Show why you think this.(4)

Use the space below to show clearly how you get your answer.

(Total for question = 11 marks) 

Mark Scheme

Q1. 

Q2. 

Q3.