Homework Assistance Guide

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Presentation transcript:

Homework Assistance Guide Sheet 73.1-6

Targets 1 Expanding and simplifying (Q1&2) 2 Dividing by a single digit (Q3&4) 3 Dividing multiples of 10 (Q5&6) 4 Metric conversions - capacity (Q7&8) 5 Multiplying 2 digit by 2 digit including decimals (Q9&10) 6 Rounding to 1 or 2 decimal places (Q11&12) 7 Solving linear equations (Q13&14) 8 BIDMAS (Q15&16) 9 Evaluating indices (Q17&18) 10 Calculating a fraction of a quantity (Q19&20)

T1 Full working solution aide: Question 1/2 help: Expand 3 8𝑦−2𝑥 +5 2𝑥+4𝑦 Method 1 ∴ =24𝑦−6𝑥+10𝑥+20𝑦 =44𝑦+4𝑥 × 8𝑦 −2𝑥 3 24𝑦 −6𝑥 × 2𝑥 4𝑦 5 10𝑥 20𝑦 + Method 2 =3×8𝑦+3×−2𝑥+5×2𝑥+5×4𝑦 =24𝑦−6𝑥+10𝑥+20𝑦 =44𝑦+4𝑥

T2 Full working solution aide: Question 3/4 help: Work out 696÷12

T3 Full working solution aide: Question 5/6 help: Work out 40000÷20 =(40÷20)×(10×10×10) =2×10×10×10 =6000

T4 Full working solution aide: Question 7/8 help: Complete 79 𝑚𝑙= ……𝐿 =79÷10÷100 =0.079𝐿

T5 Full working solution aide: Question 9/10 help: Work out 49.3×2.7=133.11 × 2 0.7 40 80 28 9 18 6.3 0.3 0.6 0.21 Total: 98.6 34.51 =133.11

T6 Full working solution aide: Question 11/12 help: Round 5.2720 to 2 decimal places Round 65.25678 to 1 decimal place Check < 5 ∴ round down =5.27 Check ≥ 5 ∴ round down =65.3

T7 Full working solution aide: Question 13/14 help: Solve 8 2𝑥+5 =88 Method 1 8 2𝑥+5 =88 ÷8 ÷8 2𝑥+5=11 −5 −5 2𝑥=6 ÷2 ÷2 𝑥=3 Check: 8 2(3)+5 =88→𝑇𝑟𝑢𝑒 Method 2 Check: 8 2(3)+5 =88→𝑇𝑟𝑢𝑒 𝑥 =𝑥 ×2 ÷2 +5 −5 ×8 ÷8 =88 88 8(2𝑥+5)=29 2𝑥+5=11 2𝑥=6 𝑥=3

T8 Full working solution aide: Question 15/16 help: Work out 10×5− 4+2 2 +6÷3

T9 Full working solution aide: Question 17/18 Evaluate 5 2 + 5 4 Square #s 1 2 =1 2 2 =4 3 2 = 9 4 2 = 16 5 2 = 25 6 2 =36 7 2 = 49 8 2 =64 9 2 = 81 10 2 = 100 Cube#s 1 3 =1 2 3 =8 3 3 =27 4 3 =64 5 3 =125 6 3 =216 7 3 =343 8 3 =512 9 3 =729 10 3 = 1000 5 2 + 5 4 = 5 2 + 5 2 × 5 2 =25+25×25 =25+625 =650

T10 Full working solution aide: Question 19/20 help: Work out 2 15 of £120 Method 1 = 2 15 × 120 1 = 2×120 15 = 240 15 =16 Method 2 = 2 15 × 120 1 =2× 120 15 =2×8 =16