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Measurement & Geometry · Guided Practice

Costs from Measurements

9 questions with answers and video solutions. Try each one before revealing the answer.

1
Carpet costs £14.50\displaystyle \pounds 14.50 per square metre.
A room has an area of 12\displaystyle 12 m2\displaystyle ^2.
Calculate the cost of carpeting the room.
Video solution coming soon
2
One tin of paint covers 12\displaystyle 12 m2\displaystyle ^2.
A wall of area 40\displaystyle 40 m2\displaystyle ^2 is to be painted.
Calculate the number of tins needed.
Video solution coming soon
3
A wall measures 6\displaystyle 6 m by 2.5\displaystyle 2.5 m.
One tin of paint covers 10\displaystyle 10 m2\displaystyle ^2 and costs £18.99\displaystyle \pounds 18.99.
Calculate the total cost of the paint needed.
Video solution coming soon
4
Turf costs £3.20\displaystyle \pounds 3.20 per square metre.
A rectangular garden measures 9\displaystyle 9 m by 7\displaystyle 7 m.
Calculate the cost of turfing the garden.
Video solution coming soon
5
Fencing costs £24.50\displaystyle \pounds 24.50 per metre.
A rectangular plot measures 15\displaystyle 15 m by 9\displaystyle 9 m and is to be fenced on all four sides.
Calculate the total cost of the fencing.
Video solution coming soon
6
2019 P2 Q5
5 Marks

A hotel is having a swimming pool built. It is in the shape of a rectangle and two quarter circles as shown below.

Diagram of a swimming pool shaped as a rectangle with quarter circles at the ends

The swimming pool will have a safety rail fitted around its edge. There will be two 125 cm wide gaps to allow access to the pool. Safety rail is sold in 3 metre lengths. Each 3 metre length costs £11.49.

Calculate the minimum cost of the safety rail for the pool.

7
2021 P2 Q7(c)
2 Marks

Dougie wants to hire the local soft play centre with a DJ for the party. The table below shows the price per child per hour.

Number of childrenSoft play onlySoft play and party bagSoft play and foodSoft play and DJSoft play, food and DJ
1-5£3£4£5£6£6.50
6-10£2.70£3.50£4.50£5.50£6
11-15£2.55£3.20£4.20£5.20£5.70
16-20£2.40£3£4£5£5.50
Over 20£2.20£2.75£3.80£4.80£5.30

The party will start at 4 pm and end at 6 pm.

(c) Calculate the total cost for the 13 children for soft play and DJ.

8
2022 P2 Q4(d)
3 Marks

The table shows the cost of one box of sandwiches, in pounds.

FillingNumber of boxes of sandwiches ordered
0 to 910 to 1920 to 2930 or more
Tuna mayo1.801.701.601.55
Chicken salad1.951.851.751.65
Prawn mayo2.302.202.102.05
Egg mayo1.501.451.351.30
Ham and cheese2.352.252.152.00

For each order, the company charges £2.75 per mile for delivery.
Yolanda's Sandwich Shop places an order for:

  • 20 chicken salad
  • 30 prawn mayo
  • 15 egg mayo.

The distance travelled for the delivery is 6 miles.

(d) Calculate the total cost of this order.

9
2023 P2 Q3
6 Marks

Fiona is having her back garden redesigned.

Diagram of Fiona's garden showing a right-angled triangle with base 7m and height 5m, and an adjacent right-angled triangle with hypotenuse 21m

A new fence is to be put from A to B and from B to C.

Rolls of fencing are 3 m long and cost £22 per roll.

Calculate the cost of the fencing.

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