Level 5 Extension!

Two different shops advertise oranges for sale.

Shop A =$3.20 for 2kg

. Shop B= $4.50 for 3kg

Which shop is giving the best buy for 7kg of oranges? Shop B

Two building suppliers advertise soil for sale.

Building Supplier A offers soil at $130 per 2 cubic metres.

Building Supplier B offers topsoil at $25 per 1⁄2 cubic metre.

Which supplier offers the best buy for 3 cubic metres of topsoil? Building Supplier B

INVESTIGATION Use any of the the symbols (, ), +, -, ×, or ÷ to make the expression below into the largest possible number. Each symbol can only be used once.

9 7 16 0.5

APPLICATION

The above diagram is of a section of a bridge. A, B, C, D, E, F, G are vertical supports.

The vertical support A = 10 metres long.

ALSO: length A = G, length B = F length C = E.

The length of B is 3/ 5 of A.- 6 m

The length of C is ⅘ of B- 4.8 m

The length of D is 9/10 of C - 0.48m

Calculate the total length of the supports. 12.28

FRACTIONS TO DECIMALS Change these fractions to decimals.

1/10 - 0.1 ⅜ - 0.375

3/10 - 0.3 3/1000 - 0.003

⅖ - 0.4 21/50 - 0.42

17/10 - 1.7 8/20 - 0.4

⅛ - 0.125 1 ¾ - 1.75

DECIMALS TO FRACTIONS Change these decimals to fractions.

0.4 - 4/10 0.0002 - 2/10000

0.314 - 314/100

0.5 - 5/10

0.175 - 175/1000

0.28 - 28/100

QUICK QUESTIONS Use any strategy. Don’t use a calculator.

1. 1.41 + 2.53 = 3.94

2. 25.4 - 24.1 = 1.3

3. 25 × 7 = 175

4. 2.5 × 7 =17.5

5. 24 ÷ 3 = 8

6. 2.4 ÷ 3 = 0.8

7. Round 3.156 to 1 DP. 3.2

8. -2 + 4 = 2

9. -2 - -3 =1

10. 3 - -4 + -5 = 2

11. 2.15 + 4.62 = 6.77

12. 7.53 - 7.39 = 0.14

13. 24 × 6 =79.44

14. 2.4 × 6 = 14.4

15. 141 ÷ 3 = 47

16. 14.1 ÷ 3 =4.7

17. Round 5.394 to 1 DP. 5.4

18. -12 + 3 = -9

19. -4 - -6 = 2

20. -8 + -2 - -6 = -4

Keep up the good work.

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