Paper 2 Predictions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You will need a calculator Guidance 1. Read each question carefully before you begin answering it. 2. Don t spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this test
Question Topic Video number 1 Multiples and Factors 220, 216 2 Angles in a Triangle 37 3 Angles in a Quadrilateral 33 4 Faces, Edges, Vertices 5, 3 5 Symmetry 316, 317 6 Views 354 7 Parts of the Circle 61 8 Rounding 276, 277 9 Ordering Decimals 95 10 Prime numbers 225 11 Square and Cube numbers 226, 212 12 Reflections 272, 273 13 Percentages of Amounts 235 14 Ratio 269, 270, 271 15 Currency 214a 16 Recipes 256 17 Bar Charts 147, 148 18 Translations 325, 326 19 Stem and Leaf 169, 170 20 Mode and Range 56, 57 21 Mean from a Frequency Table 54 22 Coordinates 84 23 Sequences - Patterns 286, 287, 290 24 nth Term 288 25 Rotations 275 26 Trial and Improvement 116 27 Inequalities 177, 178, 179 28 Questionnaires 268 29 Changing the Subject 7 30 Angles in Parallel Lines 25
Question Topic Video number 31 Angles in Polygons 32 32 Bearings 26, 27 33 Construction/Loci 72, 78, 75 34 Speed, Distance, Time 299 35 Enlargements 104, 105 36 Circumference 60 37 Area of a Circle 59 38 Two-way Tables 319 39 Laws of Indices 172, 174 40 Product of Primes - LCM/HCF 223, 224 41 Use of a Calculator 252 42 Frequency Polygons 155, 156 43 Pie Charts 163 44 Listing Outcomes 253 45 Collecting Like Terms 9 46 Multiplying Terms 18 47 Expanding Brackets 13 48 Factorising 117 49 Drawing Linear Graphs 186 1. Here is a list of 8 numbers. 15 16 17 18 20 22 24 29 (a) Write down a prime number (b) Write down a factor of 30 (c) Write down a multiple of 3, which is even..........
2. Shown is a right angled triangle. Work out the size of angle y. ⁰ 3. Shown below is a quadrilateral. Work out the size of the angle marked x. ⁰
4. Below is a solid shape. (a) What is the mathematical name for the shape? (b) Write down the number of vertices (c) Write down the number of faces (d) Write down the number of edges............ 5. (a) (b) Shade one more square to make a pattern with 1 line of symmetry. Shade one more square to make a pattern with rotational symmetry order 2.
6. The diagram below shows a shape made with centimetre cubes. (a) On the centimetre square grid, draw the front elevation. (b) On the centimetre square grid, draw the plan view.
7. Here are 6 diagrams and 6 labels. In the diagram the centre of the circle is shown with a dot. Match each diagram to its label. One has been done for you. (4)
8. (a) Write 5725 to the nearest 100.. (b) Write 6.35 correct to 1 decimal place.. 9. Write these numbers in order of size. Start with the smallest number. 0.92 0.901 0.99 0.099 0.909 10.... Give a reason why each child is wrong. Frank:...... Gemma:......
11. Circle all the square numbers. 12. Reflect the triangle in the line y = 1 Label the new triangle B.
13. Barry earns 1300 a month. He spends 30% of this money on rent and 12% on bills. How much of the 1300 has he left? 14. Chris and Molly win money in a competition. They share the money in the ratio 2 : 3 Molly receives 240. (a) How much money does Chris receive? (3) (b) How much money did they win in the competition? 15. A coat in London costs 60. The same coat in Dublin costs 105.60. The exchange rate is 1 = 1.65. In which city is the coat cheaper and by how much? (4)
16. Shown below is a recipe for Stuffed Turkey. Mary wants to make Stuffed Turkey for 10 people. How much of each ingredient is needed? Include units. Turkey:... Red Onions:... Garlic Cloves:... Chestnut Mushrooms:... Spinach:... Chicken Stock:... (5)
17. James asked his friends their favourite colour. Green Blue Red Green Blue Blue Green Red Blue White Blue Green Red Green Blue Red Blue Green (a) Complete the frequency table for his results. (b) On the grid, draw a bar chart to show this information.
18. Translate triangle A by the vector
19. The number of people visiting a cafe each day, for 11 days, is listed below. 104 131 120 115 109 124 128 118 116 120 125 (a) Complete an ordered stem and leaf diagram for this information. A key has been included. (b) Write down the mode. (c) Write down the median.... (d) Write down the range.......
20. Here are the ages of 9 children at a birthday party. 10 12 13 10 11 14 15 10 12 (a) Find the mode. (b) Work out the range. 21. The table shows the number of sweets in 20 bags. Calculate the mean. (3)
22. (a) Write down the coordinates of the point A. (...,...) (b) Write down the coordinates of the point B. (...,...) (c) Plot the point (0, 2). Label the point C. (d) Plot the point (-3, 1). Label the point D.
23. These patterns are made of sticks (a) Draw Pattern 4 (b) How many sticks will there be in Pattern 10?... (c) Which pattern will use 40 sticks?...
24. A sequence of numbers is shown. 2 9 16 23 30...... (a) Find an expression for the nth term of the sequence. (b) Find the 100 th term in the sequence. 25. Rotate triangle ABC 180 about centre (1, 0) (3)
26. The equation x³ + 2x = 50 has a solution between 3 and 4. Use trial and improvement to find this solution. Give your answer correct to 1 decimal place. You must show all your working. x =... (4) 27. (a) Solve the inequality 2x 1 < 9 (b) Write down the inequality shown on the number above...
28. Charlie wants to find out what students think about school. For his sample he asks 10 Year 7 students. This is not a good sample to use. (a) Write down a reason why..... He uses this question. (b) Write down one thing wrong with this question..... Charlie wants to find out how many hours students revise for their chemistry test. (c) Design a suitable question.
29. Make w the subject of the formula w =. 30. In the diagram, AB is parallel to CD. (a) Work out the size of the angle marked x. (b) Give a reason for your answer.......
31. Shown below is a regular pentagon. (a) Find the size of each interior angle. x = ⁰ Three identical regular pentagons are joined as shown above. (b) Work out the size of angle y. y = ⁰
32. The map below shows the position of two towns. (a) Find the bearing of Ballyclare from Antrim. 33. Construct the angle bisector....⁰
34. A helicopter flies 240 miles in 2 hours 30 minutes. Calculate the average speed, in mph, of the helicopter. mph 35. Shown below is a rectangle drawn on a coordinate grid. Enlarge the rectangle by scale factor 2, using centre of enlargement ( 1, 0). (3)
36. Work out the circumference of the circle. Give your answer to 1 decimal place. cm 37. Work out the area of the circle. State the units for your answer. Give your answer to 2 decimal place.... (3)
38. 90 people sit their driving tests over one week. (a) Complete the two-way table. (b) How many people who had 20 or over driving lessons failed their driving test? (c) What fraction of people failed their driving test? Give your fraction in its simplest form. Alan says having 20 or over driving lessons helps a person pass their driving test. (d) Explain why Alan is correct..........
39. (a) Simplify... (b) Simplify... (c) Simplify... 40. (a) Write 60 as a product of its prime factors. (b) Find the Lowest Common Multiple (LCM) of 60 and 75....
41. (a) Write down your full calculator display.... (b) Write your answer to 2 decimal places. 42. The frequency table gives information about the weight of some rugby players. (a) Draw a frequency polygon to represent this data.
(b) Write down the modal class interval. One player is chosen at random. (c) Work out the probability that this player is more than 90kg. 43. The table gives information about the holiday destination of 18 students in a class. Draw an accurate pie chart to show this information. (4)
44. Micky goes to a coffee shop. He chooses one drink and one snack. Write down all the possible combinations............. 45. (a) Simplify 3m - m (b) Simplify y² + y² + y² (c) Simplify 7h + 5k + h - 3k
46. Simplify (a) 8 y 2 (b) a a a (c) 3 a c (d) w 5 e (e) 2y y (f) 3a 4c (g) 5w 6w (h) 2m² 4m
47. Expand 2w(3w² - 5) 48. Factorise fully... 49. On the grid, draw y = 4x 5 for values of x from 2 to 2. (4)