Homework Assistance Guide

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Presentation transcript:

Homework Assistance Guide Sheet 74.1-6

Targets 1 Adding fractions (Q1&2) 2 Substituting into formulae (Q3&4) 3 Multiplying with indices (Q5&6) 4 Comparing measures (Q7&8) 5 Solving linear equations - including brackets (Q9&10) 6 Rounding to significant figures and decimal places (Q11&12) 7 Calculating a percentage of a quantity (Q13&14) 8 Finding missing terms in sequences (Q15&16) 9 Estimating the answers to calculations (Q17&18) 10 Changing mixed numbers to improper fractions (Q19&20)

T1 Full working solution aide: Question 1/2 help: Simplify 3 4 + 2 5 Standard method = 3 4 + 2 5 = 3×5 4×5 + 2×4 5×4 = 15 20 + 8 20 = 23 20 =1 3 20

T2 Full working solution aide: Question 3/4 help: Work out the value of 24𝑥−6 𝑥 2 when 𝑥=2 Substitution in =24(2)−6 (2) 2 =48−24 =24

T3 Full working solution aide: Question 5/6 Evaluate 5 2 × 10 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 × 10 4 =25×1000 =25 000

T4 Full working solution aide: Question 7/8 help: Solve 8𝑥+5=29 Method 1 8𝑥+5=29 −5 −5 8𝑥=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

T4 Full working solution aide: Question 7/8 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 8𝑥+5=29 2𝑥+5=11 2𝑥=6 𝑥=3

T5 Full working solution aide: Question 9/10 help: Complete 79 𝑚𝑚 ……0.82 𝑐𝑚 To compare, have measurements in the SAME units =79÷10 =7.9𝑐𝑚 ∴79 𝑚𝑚>0.82 𝑐𝑚

T6 Full working solution aide: Question 11/12 help: Round 5.2720 to 2 decimal places Round 6 425 000 to 1 significant place Check < 5 ∴ round down =5.27 Check ≥ 5 ∴ round down =6 000 000

T7 Full working solution aide: Question 13/14 help: Find 15% of £150 Method 1 15% 𝑜𝑓 150= 15 100 × 150 1 = 15×150 100 ×1 = 2250 100 =22.5 Method 2 15% =10%+5% 𝑜𝑓 150 = 15 +7.5 =22.5

T8 Full working solution aide: Question 15/16 help: Find the missing terms in the sequence ? , 15 , 11, ? , 3 , … ∴19 𝑎𝑛𝑑 7 −4 +4

T9 Full working solution aide: Question 17/18 help: Estimate 3693 −430 3693 −430≈4000 − 400 ≈3600

T10 Full working solution aide: Question 19/20 help: Express 5 3 8 as an improper fraction Method 1 = 5×8+3 8 = 43 8 Method 2 5 wholes broken into 8 parts each = 5×8=40 𝑒𝑖𝑔𝑡ℎ𝑠 Plus the extra 3 parts from the fraction =43 𝑒𝑖𝑔𝑡ℎ𝑠 = 43 8