Revision for year 7.

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Presentation transcript:

Revision for year 7

HCF and LCM Home Find the Highest Common Factor of these numbers: Find the Lowest Common Multiple of these numbers 6 and 7 4 and 6 5 and 8 10 and 4 16 and 5 14 and 21 2.2 and 5 0.4 and 7 6 5 8 12 10 14 13 19 42 12 40 20 80 55 14 Home

Bidmas Home C) (3 x 3 – 4 ) x (2 + 2) 2 x (13 – 4) – (23 ÷ 23) 24 3 2 20 10 1 26 22 19 9 5 25 17 Bidmas A) (3 + 3 ) x 4 4 x 2 – 5 (5 + 7) ÷ 6 5 x 3 + 5 (9 – 4 ) + 5 1 + 1 – 1 2 x (15 – 2) (5 x 4 ) + 2 (8 + 2 ) ÷ 10 (21 x 1 ) – 2 B) (1 + 14) – (5 x 3 ) (10 + 6 ) ÷ (4 x 2) (1 + 2 ) x (6 – 3) (2 x 6 ) – (14 ÷ 2) (7 x 2) ÷ ( 20 – 6) (3 x 10) – (2 x 2) (9 x 5) – ( 2 x 10) C) (3 x 3 – 4 ) x (2 + 2) 2 x (13 – 4) – (23 ÷ 23) 3 x (1 + 4) – (5 x 2) 4 x (3 + 2) – ( 24 – 5) 7 x ( 4 ÷ 2 ) ÷ ( 3 x 5 -1 ) ((9 + 7 x 3 ) ÷ 10) – 1 Home

Factor Trees Home Answers 22x5 3 x 23 3 x 24 2 x 32 x 5 34 2 x 52 Draw factor trees for the following numbers: 20 24 48 90 81 50 75 120 200 1800 2. Using your factor trees from question 1, write the numbers as products of their prime factors . Home

Multiplying and dividing decimals Answers 5.6 3.5 0.6 2.4 0.9 0.1 0.28 0.08 0.81 0.06 0.57 0.8 0.75 0.34 0.91 0.594 5.044 6.059 0.506 6.15 1. 0.4 2. 8 9 7 4 3. 11 200 21 6 1100 Multiplying Dividing 1 3.2 ÷ 4 4.8 ÷ 8 7.2 ÷ 9 2.4 ÷ 6 1.8 ÷ 3 2 5.6 ÷ 0.7 6.3 ÷ 0.7 2.7 ÷ 0.3 4.9 ÷ 0.7 2.8 ÷ 0.7 3 1.65 ÷ 0.15 24 ÷ 0.12 27.3 ÷ 1.3 0.03 ÷ 0.005 0.99 ÷ 0.0009 1 a) 0.8 x 7 = b) 0.5 c) 0.1 6 d) 0.6 4 e) 0.3 3 2 0.2 0.4 0.7 0.9 1.9 1.6 1.7 1.3 5.4 0.11 5.2 0.97 8.3 0.73 4.6 8.2 0.75 Home

Collecting like terms Answers Home Simplify 10a + 4a 2b + 7b 3a + a + 4a 11b – 4b 14b – 5b + 4b 3a – 6a + a 10a + 4b –a +5b 8a + 5a +5b – 3b 12b – 7a + 3b +a 2b – 8b –a + 9a -13b + 4a -5b -4a 11a + 8b + 2c + 6a + 3b -2c 6b + 4b –a +6c + 5a – 4c 7c + 4b- 3b + a + 10c – 5a 10a + 4b + 7a + 10b – 17a – 14b 5b + 4c + 18c – 22a + z Answers 14a 9b 8a 7b 13b -2a 9a + 9b 13a + 2b 15b – 6a 8a – 6b -18b 17a + 11b 4a + 10b + 2c -4a + b + 17c 5b + 22c -22a + z Home

Substituting Home If A is 5 what is: 5A 11A 6A – 10 9A + 15 100-5A ANSWERS 2 55 20 60 75 30 15 84 27 13 1 50 42 48 252 8 -2 12 -33 9 -16 -18 -50 31 If A is 5 what is: 5A 11A 6A – 10 9A + 15 100-5A If B is 7 what is 2(B+8) 3(B-5) B(B+5) 9(10-B) (3+B)X(B-5) If A= 6 and B=7 what is: A+B B-A 6A+2B AB A(B+1) A2B Home

Factorising Home ANSWERS A) Factorise the following completely: 5B(3B+4) 7B(2B+7) 9B(B+8) 11B(3B-4) 2C(C2+4) 5C(C3+8) 3A(3B+2) 4B(4A-1) 6AB(5A+4) 5B2(2A-3) 4AB(3C+5) 14ABC(2A+1) 4(AB-2A+4B) 3(5A-6B-7AB) 3B(3B2+6C+10A) AB(C-10+1) A) Factorise the following completely: 10A + 15 24A + 36 16A - 64 15B2 + 20B 14B2 + 49B 9B2 + 72B 33B2 - 44B 2C3 + 8C 5C4 + 40C 10C3 + 8C B) Factorise the following completely: 9AB + 6A 16AB – 4B 30A2B + 24AB 10AB2 – 15B2 12ABC + 20 AB 28A2BC + 14ABC 4AB – 8A + 16B 15A – 18B – 21AB 9B3 + 18BC + 30AB ABC-10AB +AB Home