Paper 2 and Paper 3 Predictions
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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 Circumference 60 2 Translations Area of a Trapezium 48 4 Volume of a Cylinder Volume of a Prism Frequency Tree Two way Tables Box Plots Frequency Polygons 155, LCM/HCF 218, Expanding two brackets Conversion Graphs 151, Standard Form 301, 302, Error Intervals Percentage Change Product Rule for Counting Speed, Distance, Time Density Drawing Linear Graphs Congruent Triangles Reciprocal Graph Exponential Graph Inequalities 177, 178, Graphical Inequalities Parallel or Perpendicular Graphs 196, Arc Length Area of a Sector Pressure Circle Theorems Proofs Equation of a Circle 12
3 1. A circular wheel has a diameter of 30cm. The wheel rolls a distance of 60m. Calculate the number of complete revolutions completed.... (4) 2. Translate shape A by the vector
4 3. Calculate the area of the trapezium....cm² 4. A cylinder has diameter 12cm and height 14cm. A cube has side length y cm. The cylinder and cube has the same volume. Find y.... cm (4)
5 5. Shown below is a triangular prism. Find the volume of the triangular prism people took part in a talent show 43 of the people were women. 10 people made it through to the final and the rest were eliminated. 3 men made it through to the final...cm³ a) Complete the frequency tree b) What fraction of the men made it through to the final?.
6 7. On a particular day, 98 adults visit a leisure centre. Some are going to the gym. Some are going to play tennis. Some are going to play badminton. The rest are going swimming. 51 people are male. 21 out of the 40 going to the gym are male. 19 males and 7 females are going swimming. 7 out of the 20 people playing badminton are male. Twice as many females play tennis than males. How many women play tennis?...
7 8. The table gives information about the weights of 50 male rugby players. (a) Draw a box plot to show this information. The weights of 50 female rugby players are also recorded. The lightest female rugby player is 51kg. The lower quartile is 60kg. The median is 71kg. The range and interquartile range for the female rugby players is the same as the male rugby players. (b) Draw a box plot to show this information.
8 9. The table shows the distance travelled to school by 50 students. (a) Draw a frequency polygon to represent this data. One student is chosen at random. (b) Work out the probability that this student travels more than 6 miles to school.... (1)
9 10. The Highest Common Factor (HCF) of two numbers is 6. The Lowest Common Multiple (LCM) of the same numbers is 60. What are the two numbers? 11. Expand and simplify (x 10)(x + 3)... and......
10 12. (a) Change 30 into Euros. (b) Change 200 Euros into Pounds ( )...Euros...
11 13. Find the value of (2.19 x 10 8 ) x (3.52 x 10 3 ). Give your answer in standard form Nigel measures the time, t seconds, to complete a race as 14.8 seconds correct to the nearest tenth of a second. Write down the error interval for t. 15. In 2000 the price of a house was 72,600. By 2010 the price of the house had increased to 125, Find the percentage increase in the price of the house from 2000 to %
12 16. Jim picks a five digit odd number. The second digit is less than 5. The fourth digit is a cube number The first digit is a prime number. How many different numbers could he pick? A village is 20 miles from Belfast. Conor drives from the village to Belfast at 40mph Kelly drives from the village to Belfast at 50mph Work out how much longer the journey takes Conor. Give your answer in minutes....minutes
13 On the grid, draw y = 4x 5 for values of x from 2 to 2. (4)
14 20. Two of the triangles below are congruent. Identify the two congruent triangles and explain your answer.... and... Reason: (4)
15 21. (a) Complete the table of values for (b) On the grid, draw the graph of for -5 x 5
16 22. The sketch shows a curve with equation y = ab x where a and b are constants and b > 0 The curve passes through the points (0, 3) and (2, 12) Calculate the value of a and b a =... b = Write down the inequality shown by the diagram....
17 24. The region labelled R satisfies three inequalities. State the three inequalities
18 25. 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 Calculate the perimeter of the sector. Give your answer to 2 decimal places....cm
19 27. Shown is a sector of a circle with radius 9.2cm. The area of the sector is 38.4cm² Find the size of angle θ Give your answer to 2 significant figures....⁰ N
20 29. Prove the opposite angles in a cyclic quadrilateral add to 180
21 30. The circle below has equation x² + y² = 4 The line has equation y = x 4 (a) Find the area of the shaded region.... (4) (b) Find the perimeter of the shaded area.... (4)
Paper 2 Predictions. Revision for this test. Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser. You will need a calculator
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
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