Paper 2 and Paper 3 Predictions

Transcription

1 Paper 2 and Paper 3 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

2 Question Topic Video number 1 Ordering Decimals 95 2 Coordinates 84 3 Cube numbers and cube roots 212, Mean, Mode, Median, Range 50, 53, 56, 57 5 Fractions, Decimals, Percentages 121 to Listing Outcomes Probability 245, 246, Speed, Distance, Time Types of Angles Faces, Edges, Vertices 5, 3 11 Views and Elevations Surface Area Bearings 26, Distance Charts Timetables Parts of a Circle Circumference Line Graphs Frequency Polygons 155, Forming Expressions Indices Volume of a Cylinder Arc Length Area of a Sector Similar Shapes Adding Fractions Density Congruent Triangles Volume of a Sphere or Cone 359, 361

3 Question Topic Video number 30 Parallel Lines Standard Form 301, 302, Forming and Solving Equations Forming and Solving Equations Conversion Graphs Estimated Mean Quadratic Graphs Cubic Graphs Reciprocal Graphs y = mx + c Write the following numbers in order of size. Start with the smallest number (a) Write down the coordinates of the point A. (b) Write down the coordinates of the point B. (...,...) (...,...)

4 is both a square number and a cube number. Find two other numbers that are both square numbers and cube numbers. 4. A football team played six games.... and... Here are the number of goals they scored in each game: (a) Work out the median number of goals scored. (b) Work out the mean number of goals scored. The football team play one more game. The mean number of goals scored increases to 4. (c) Work out the number of goals scored in the seventh game.

5 5. Complete the table. (4) 6. Micky goes to a coffee shop. He chooses one drink and one snack. Write down all the possible combinations

6 7. A rugby team can win, draw or lose a match. The table shows the probabilities of each result. (a) Calculate the missing probability in the table. Each win is worth 2 points. Each draw is worth 1 point. Each loss is worth 0 points. The rugby team plays 20 games in a season. (b) Work out how many points the rugby team should receive in one season. 8. Victoria walks 11 kilometres at a speed of 4 km/h Calculate how long it takes Victoria. Give your answer in hours and minutes. (3) hours...minutes (3)

7 9. Here is a trapezium. (a) Mark a right angle with a letter R. (b) Mark an acute angle with a letter A. (c) Mark an obtuse angle with a letter O. 10. 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......

8 11. Shown below is a solid shape made from centimetre cubes. (a) On the centimetre square grid, draw the front elevation. (b) On the centimetre square grid, draw the plan view. 12. Shown below is solid cuboid. Work out the total surface area of the cuboid. cm² (3)

9 13. This is a map of an island. A helicopter flies in a straight line from Leek to Donhampton. (a) How far does the helicopter fly? (b) Write down the bearing of Donhampton from Leek. miles...⁰

10 14. The table shows the distances in miles by road between some towns. (a) Write down the distance between Red Island and Foxtown (b) Write down the names of the two towns which are the least distance apart.... miles Martin lives in Foxtown. He works in Donhampton. Martin drives to work in the morning and back home in the evening. He works Monday to Friday. (c) Work out how many miles Martin drives each week.... and miles (3)

11 15. Here is part of a timetable for a bus. A bus leaves Southville at (a) At what time should the bus arrive at Newtown? (b) How long will the journey take?...minutes James arrives at the Milton bus stop at He waits for the next bus to Red Island. (c) (i) How many minutes should he wait? (ii) At what time should James arrive at Red Island?...minutes Sally wants to travel from Southville to Bakerstown. The is an express bus. (d) How many minutes shorter is the journey if she takes the express bus?...minutes

12 16. 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) 17. Shown below is a circle with radius 9cm. Work out the circumference of the circle. Give your answer to 1 decimal place. cm

13 18. Below is a line graph that shows the population of a village. (a) What was the population in 1980? (b) In which year was the population 700? The population is expected to increase by 120 by (c) Work out the expected population in 2020.

14 19. The table gives information about the distances thrown, in metres, at a school sports day. Draw a frequency polygon for the information in the table.

15 20. In one week, Gina spent x minutes on the internet. Sammy spent 15 minutes less than Gina. (a) Write down an expression for how long Sammy spent on the internet. Neil spent three times as long as Gina on the internet. (b) Write down an expression for how long Neil spent on the internet.... (c) Write down an expression for total time spent on the internet (a) Calculate and write down the full calculator display... (b) Round your answer to one decimal place

16 22. Shown below is a cylinder. Calculate the volume. Give your answer to 1 decimal place. 23. cm³ (3) Calculate the perimeter of the sector. cm 24. Shown is a semi-circle. Work out the area. State the units for your answer.... (3)

17 25. Trapezium S and trapezium T are similar. Find the size of x....cm 26. Jessica wants to attach ribbon around her wardrobe. She has 4 metres of ribbon. How much more does she need? Give your answer as a fraction. m (4)

18 Shown below are six triangles that are not drawn accurately. Which two triangles are congruent to triangle A?... and...

19 29. Shown is a sphere with diameter 6cm. Calculate the volume of the sphere. cm³ (3) 30. The lines A and B are parallel. The line A passes through the point (0, 8) The line B has equation y = 3x + 1 Write down the equation of line A...

20 31. Find the value of (2.19 x 10 8 ) x (3.52 x 10 3 ). Give your answer in standard form Below is a rectangle, with width x cm and length 2x + 3 cm. The perimeter of the rectangle is 72cm. Calculate the size of the width and length. Width =...cm Length =...cm (4)

21 33. Sarah is x years old. Thomas is 3 years older than Sarah. David is twice as old as Sarah. The total of their ages is 51. (a) Write an expression for Thomas s age in terms of x. (b) Write an expression for David s age in terms of x. (c) Form an equation in x and solve it to work out Sarah s age.

22 34. A conversion graph for kilometres and miles is shown. (a) Use the graph to convert 40 kilometres to miles. miles (b) Use the graph to convert 10 miles to kilometres. kilometres (c) Convert 200 kilometres to miles. miles

23 35. Timothy asked 30 people how long it takes them to get to school. The table shows some information about his results. Work out an estimate for the mean time taken..minutes (4)

24 36. (a) Complete the table of values for y = x² + 2x + 1 (b) On the grid, draw the graph of y = x² + 2x + 1 for the values of x from -3 to 3.

25 37. (a) Complete the table of values for y = x³ 2x + 3 (b) On the grid, draw the graph of y = x³ 2x + 3 for the values of x 2 x 2

26 38. (a) Complete the table of value for (b) On the grid, draw the graph of for 0.25 x 10

27 39. A straight line L is shown on the grid. Work out the equation of line L (3)