paper 2 and paper 3 predictions - videos, worksheets, 5-a ... · pdf filepaper 2 and paper 3...

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

© CORBETTMATHS 2017

Question Topic Video number

1 Circumference 60

2 Translations 325

3 Area of a Trapezium 48

4 Volume of a Cylinder 357

5 Volume of a Prism 356

6 Frequency Tree 376

7 Two way Tables 319

8 Box Plots 149

9 Frequency Polygons 155, 156

10 LCM/HCF 218, 219

11 Expanding two brackets 14

12 Conversion Graphs 151, 152

13 Standard Form 301, 302, 303

14 Error Intervals 377

15 Percentage Change 233

16 Product Rule for Counting 383

17 Speed, Distance, Time 299

18 Density 384

19 Drawing Linear Graphs 186

20 Congruent Triangles 67

21 Reciprocal Graph 346

22 Exponential Graph 345

23 Inequalities 177, 178, 179

24 Graphical Inequalities 182

25 Parallel or Perpendicular Graphs 196, 197

26 Arc Length 58

27 Area of a Sector 48

28 Pressure 385

29 Circle Theorems Proofs 66

30 Equation of a Circle 12


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 �

(2)


3.

�

Calculate the area of the trapezium.

....................cm²(2)

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. Shown below is a triangular prism.

�

Find the volume of the triangular prism.

.........................cm³(3)

6. 62 people took part in a talent show43 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

a) Complete the frequency tree(2)

b) What fraction of the men made it through to the final?…………………….


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?

.........................(2)


8. The table gives information about the weights of 50 male rugby players.

�

(a) Draw a box plot to show this information.

�(3)

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 asthe male rugby players.

(b) Draw a box plot to show this information.

�(3)


9. The table shows the distance travelled to school by 50 students.

(a) Draw a frequency polygon to represent this data.(2)

�One student is chosen at random.

(b) Work out the probability that this student travels more than 6 miles to school.

.........................(1)


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?

......................... and .........................(2)

11. Expand and simplify (x − 10)(x + 3)

...................................(2)


12.

�

�

(a) Change £30 into Euros.

.........................Euros(2)

(b) Change 200 Euros into Pounds (£)

£.........................(2)


13. Find the value of (2.19 x 108) x (3.52 x 103).Give your answer in standard form.

..........................................(2)

14. Nigel measures the time, t seconds, to complete a race as 14.8 seconds correctto the nearest tenth of a second.

Write down the error interval for t.

.........................(2)

15. In 2000 the price of a house was £72,600.By 2010 the price of the house had increased to £125,598

Find the percentage increase in the price of the house from 2000 to 2010.

.........................%(3)


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?

.............................(3)

17.

�

A village is 20 miles from Belfast.

Conor drives from the village to Belfast at 40mphKelly drives from the village to Belfast at 50mph

Work out how much longer the journey takes Conor.Give your answer in minutes.

.........................minutes(3)


18.

19. On the grid, draw y = 4x − 5 for values of x from −2 to 2.

�(4)


20. Two of the triangles below are congruent.

�

Identify the two congruent triangles and explain your answer.

.................. and ....................

Reason: ............................................................................................................................

............................................................................................................................

............................................................................................................................

............................................................................................................................

............................................................................................................................

............................................................................................................................

(4)© CORBETTMATHS 2017

21. (a) Complete the table of values for

(2)

(b) On the grid, draw the graph of for -5 ≤ x ≤ 5

(2)


22.

�

The sketch shows a curve with equationy = abx 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 = ....................

(3)

23. Write down the inequality shown by the diagram.

�

.........................(2)


24.

�

The region labelled R satisfies three inequalities.

State the three inequalities

.......................................

.......................................

.......................................(3)


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

..............................(2)

26.

�

Calculate the perimeter of the sector.Give your answer to 2 decimal places.

.........................cm(3)


27.Shown is a sector of a circle with radius 9.2cm.

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The area of the sector is 38.4cm²

Find the size of angle θGive your answer to 2 significant figures.

.........................⁰(3)

28.

.........................N(3)


29.

�

Prove the opposite angles in a cyclic quadrilateral add to 180°


30. The circle below has equation x² + y² = 4The line has equation y = x − 4

(a) Find the area of the shaded region.

........................................(4)

(b) Find the perimeter of the shaded area.

........................................(4)


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