Homework Assistance Guide Sheet 71.1-6

Targets 1 Using place value (Q1&2) 2 Multiplying 2 digit x 2 digit numbers (Q3&4) 3 Simplifying expressions (Q5&6) 4 Substituting values into formulae (Q7&8) 5 Rounding to 1 significant figure (Q9&10) 6 Simple equations (Q11&12) 7 Finding missing terms in sequences (Q13&14) 8 Expanding brackets (Q15&16) 9 Metric measure conversions (Q17&18) 10 Identifying cube and square numbers (Q19&20)

T1 Full working solution aide: Question 1/2 help: Work out 900+4+0.03 =904.03 Thousands Hundreds Tens Units (ones) Tenths Hundredths Thousandths 9 4 3

T2 Full working solution aide: Question 3/4 help: Work out 49×27=1323 × 20 7 40 800 280 9 180 63 Total: 980 343 =1323

T3 Full working solution aide: Question 5/6 Adding or subtracting? Simplify 5𝑥−6𝑦−𝑥+2𝑦 Multiplying or dividing? Simplify 5𝑥×6𝑦𝑥 Step 1: Group like terms Step 2: Simplify like terms only by adding/subtracting the coefficients NOTE: variables do not change when =/- =5𝑥−𝑥 −6𝑦+2𝑦 =4𝑥 −4𝑦 Step 1: Multiply/divide coefficients Step 2: Multiply/divide variables NOTE: use index laws to help if needed =5×6×𝑥×𝑥×𝑦 =30 𝑥𝑥𝑦 =30 𝑥 2 𝑦

T4 Full working solution aide: Question 7/8 help: Work out the value of 24𝑥−6 𝑥 2 when 𝑥=2 Substitution in =24×(2)−6× (2) 2 =48−24 =24

T5 Full working solution aide: Question 9/10 help: Round 5.2720 to 2 decimal places Round 6 425 000 to 1 significant place (means the answer will have only two decimal places) Check > 5 ∴ round down =5.27 (means the answer will have only one number not a zero) Check ≤ 5 ∴ round down =6 000 000 NOTE: Place values DO NOT move/change

T6 Full working solution aide: Question 11/12 help: Solve 8𝑥+5=29 BIDMAS Method 1 8×𝑥+5=29 −5 −5 8×𝑥=24 ÷8 ÷8 𝑥=3 Check: 8 3 +5=24 →𝑇𝑟𝑢𝑒 Method 2 Check: 8 3 +5=24 →𝑇𝑟𝑢𝑒 𝑥 =𝑥 ×8 ÷8 +5 −5 =29 29 8𝑥+5=29 8𝑥=24 𝑥=3

T7 Full working solution aide: Question 13/14 help: Find the missing terms in the sequence ? , 15 , 11, ? , 3 , … ∴19 𝑎𝑛𝑑 7 −4 +4

T8 Full working solution aide: Question 15/16 help: Expand 3 8−2𝑥 Method 2 =3×8+3×−2𝑥 =24−6𝑥 Method 1 ∴ =24−6𝑥 × 8 −2𝑥 3 24 −6𝑥

T9 Full working solution aide: Question 17/18 help: Complete 79 𝑚𝑚= ……𝑐𝑚 =79÷10 =7.9𝑐𝑚

T10 Full working solution aide: Question 19/20 help: What is the square root 81? What is the 8th cube number? 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 ∴ 81 =9 ∴ 9 3 =729