Learning outcomes ALL MUST show an appreciation for exam practise. MOST SHOULD be able to recall simple facts that have been covered this year using old books for support SOME COULD extend their learning with independent use of past papers (levelled)
EXAM TIPS Make sure you have your own calculator Make sure you know how long each paper is and what time the exams start & finish Make sure you know what level you are sitting Make sure you have all the correct equipment Make sure you review old notes and make new revision notes & cards. Make sure you PRACTISE PRACTISE PRACTISE
Learning outcomes Number Ensure you know how to use your calculator for simple operations…..
Learning outcomes Number Try these…..
Learning outcomes Calculate the volume of the prism 10cm 12cm 9cm A = (12 x 9) ÷ 2 = 54cm² V = 54 x 10 = 540cm³
Learning outcomes Algebra Simplify…. (a) a + 4a + 3b (b) 7a – 4b + 3b + 5 (d) y × y (e) 2p × 3p (c) m m + 9 = 5a + 3b = 12 – m = 7a – b + 5 = y² = 6p²
Learning outcomes Algebra Factorise…. (a) 4k + 8 (b) k² - 5k (d) x² - 9 (e) x² + 6x + 8 (c) 4p³q + 2pq = 4(k + 2) = 2pq(2p² + 1) = k(k – 5) = (x + 3)(x – 3) = (x + 2)(x + 4)
Learning outcomes Algebra x + 2 2x Form an equation then find x for each. 2x + 3 2x - 1 Perimeter = 78m Perimeter = 47m x
Learning outcomes Algebra (level 6) x + x x – 2 James is x years old. His brother is 6 years older. His friend Sam, is 2 years younger than James. What is their total ages in algebra? = 3x + 4
Learning outcomes Algebra (level 6) The three boys ages add up to 31. How old must James be? 3x + 4 = 31 3x = 27 x = 9 Form an equation and solve it
Quadratic equations (B) Solve the following quadratic equation. x² - 9x + 20 = 0 (x – 4)(x – 5) = 0 (x – 4) = 0 or (x – 5) = 0 x = 4 or x = 5 These two brackets multiply to make 0
Learning outcomes Using Exact values Find the exact area of the isosceles triangle
Learning outcomes Pythagoras and Quadratics (i) Show that x² - 4x - 12 = 0 (i) Solve the equation x² - 4x - 12 = 0 A C B (x + 4) (x + 2) x
Learning outcomes Fractions and area The area of the square is 18 times the area of the triangle. Work out the perimeter of the square. cm
Learning outcomes Box and whisker diagrams Draw a box and whisker diagram for the following data. Lowest value = 18
Learning outcomes Exchange rates Emma wants to buy a pair of headphones. In America, they cost $130. In the UK they cost £ % VAT. The exchange rate is £1 = $1.74 Which country should she buy them in? She should buy them in the UK
Learning outcomes Reversing the mean 8 x 6 = 48 The mean of 8 numbers is 6. When an 9 th number is added, the mean is now 7. What is the 9 th number? 9 x 7 = – 48 = 15 The 9 th number is 15 total data items x mean = total
Learning outcomes Algebraic fractions Give that Simplify…. (a) p + q (b) p - r (c) p ÷ r (d) q x r
Learning outcomes Prime factors Give that Find the values of x and y
Learning outcomes Standard form Find the area and perimeter of this rectangle. Give your answers in Standard form.
Learning outcomes Surds Simplify, leaving your answer in surd form where appropriate (a) (b)
Learning outcomes Probability – independent events A spinner is spun three times. Calculate the probability that it will land on red once, green once and yellow once.
Learning outcomes Simultaneous equations 6x + 8y = 10 6x - 9y = 27 17y = -17 y = -1 x = 3 3x + 4(-1) = 5 3x – 4 = 5 3x = 9 Substitute…
Similar shapes
Circle Theorems Angle ABC in terms of y Angle ABC = 180° – ½ y
Learning outcomes Prime numbers and prime factors Write 360 as a product of its prime factors = 2 × 3 ×
Learning outcomes Data Handling Two dice are rolled together. Find the probability of rolling a double.
Learning outcomes Forming and solving equations Calculate the perimeter of the triangle 3x – 5 = 19 - x 4x = 24 x = 6 P = 4x + 14 P = 4(6) + 14 P = 38
Learning outcomes Data presentation
Learning outcomes Trigonometry Find the length of AB. Give your answer to 3sf. A C B 65° 6cm
Learning outcomes Algebra & Number Use trial and improvement to solve…. x³ + 3x = 40 Show at least four trials. Give your answer to 1 decimal place.
Learning outcomes Percentages Matthew is buying a new laptop. The online price is 15% less than the normal price. If the online price is £459, calculate the normal price of the laptop. £459 = 85% £540 = 100% £459 = 1% 85 Normal price is £540
Learning outcomes Trigonometry Show, using this triangle, why cos 60° = A C B 60° 3cm 4cm Find also ; Sin 60° = Tan 60° = 5cm
Data Handling x 0.4 = x 0.6 = 0.3 x 0.4 = 0.3 x 0.6 = F NF V NV V Answer 0.82
Learning outcomes Trigonometry (A*) Find the area of this triangle 6cm 4cm C A B 45° A = ½×4×6×sin 45° A = 12 × sin 45° A = 8.5cm²