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GCSE Maths Starter 1

GCSE Maths Starter 1. Continue the next two in the sequence: 2, 8, 14, 20…. Find the mean of 12, 7, 13, 8. If a = 4, b = 5 What is the value of 8a-6b? What is 5² - 3² A) Name the shape B) Find the size of the missing angle, a: Explain your answer. 108. 105. a. 72.

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GCSE Maths Starter 1

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  1. GCSE Maths Starter 1 Continue the next two in the sequence: 2, 8, 14, 20…. Find the mean of 12, 7, 13, 8. If a = 4, b = 5 What is the value of 8a-6b? What is 5² - 3² A) Name the shape B) Find the size of the missing angle, a: Explain your answer. 108 105 a 72

  2. Lesson 1 EquationsMathswatch clip 105 To know what an equation is. To use inverse operations to solve two step equations. (Grade D) To solve equations with brackets in. (Grade D/C) EXTN: To solve equations with unknowns on both sides. (Grade C)

  3. An equation means that two things are equal. A pair of scales is sometimes used to show equations because when both sides balance they are equal. The scales below show that the expression 2x + 5 is equal to the quantity 21, where x is the number of marbles in each bag. Can you find what x must be worth? Lesson 1 EquationsMathswatch clip 105 2x + 5 = 21 x x 2x + 5 21

  4. 3 n 5 + 2 Unknowns One Side: Caterpillar Method Whatever happens to the letter on the way there, we must do to the OPPOSITE on the way back.. 3 n 5 + = 10 2 + - x   3n + 5 3n n x 3 + 5 ÷ 2 10 n 20 =5 15 So n = 5 ÷ 3 - 5 x 2

  5. Unknowns One Side: Caterpillar Method ( ) n 6 + 4 5 Whatever happens to the letter on the way there, we must do to the OPPOSITE on the way back.. 8 = 3 + - x   + 4 ÷ 3 x 5 6 8 30 24 6 n =2 - 4 x 3 ÷ 5 + 6 So n = 2

  6. Unknowns Both Sides: Move the smallest amount of the letter then Caterpillar Method 14 n 3 + n + 4 5 = -3 n n -3 2n +4 =14 Use opposites to move the smallest amount of the letter. Then use the catterpillar as normal. x 2 + 4 10 n =5 14 + - x   ÷2 - 4 So n = 5

  7. 2x + 6 = x + 9 Practice Equations + - x  Now try these questions remembering to use opposite signs. x = 3 Solve the following equations (a) 3x + 8 = 20 x = 4 Questions (b) 7x - 9 = 26 x = 5 (c) 5(x – 8) = - 5 x = 7 Extension Qns (d) 3x + 7 = x + 11 x = 2 x = 2½ (e) 6x + 5 = 4x + 10 (f) 5p - 3 = 2p + 9 p = 4 (g) 4y - 7 = 2y - 9 y = -1

  8. Lesson 1: Equations Exam Questions for you to try.

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