Download Edexcel Higher Paper 2 Corbett - St Christopher`s CE High School

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
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Question
Topic
Video number
1
Currency
214a
2
Angles in Parallel Lines
25
3
Pythagoras
257
4
Speed, Distance, Time
299
5
Best Buys
210
6
LCM, HCF
223, 224
7
Ratio
270, 271
8
nth Term
288, 289
9
Drawing Linear Graphs
186
10
y = mx + c
191
11
Trial and Improvement
116
12
Drawing Pie Charts
163, 164
13
Scatter Graphs
165, 166
14
Frequency Polygons
155, 156
15
Stem-and-Leaf
169, 170
16
Estimated Mean
55
17
Trigonometry
329, 330, 331
18
Similar Shapes
292, 293a, 293b
19
Compound Interest
236
20
Reverse Percentages
240
21
Simultaneous Equations (Grade B)
295
22
Cumulative Frequency
153, 154
23
Congruent Triangles
67
24
Sine Rule
333
25
Cosine Rule
335, 336
26
Area of a Triangle (1/2abSinC)
337
27
Limits of Accuracy
183, 184
28
Parallel Lines
196
29
Perpendicular Lines
197
30
Inequalities (regions)
182
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1.
Question
Topic
Video number
31
Factorising Quadratics
118, 119, 120
32
Quadratic Formula
267
33
Stratified Sampling
281
34
Histograms
157, 158, 159
35
Algebraic Proof
365
36
Simultaneous Equations (Grade A*)
298
37
Transformations of Graphs
323
38
Algebraic Fractions
21, 22, 23, 24
39
Volume
359-361
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?
(3)
2.
AB is parallel to CD.
Work out the size of angle y.
Give reasons for your answer.
.........................°
(4)
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3.
ABC is a right-angled triangle.
AC = 6cm.
AB = 20cm.
Calculate the length of BC.
Give your answer correct to 1 decimal place.
.................... cm
(3)
4.
A car travels 240 kilometres in hours 20 minutes.
Calculate the average speed, in km/h, of the car.
.........................km/h
(3)
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5.
A supermarket sells Baked Beans in two different size cans.
Which size can is the best value for money?
You must show all your working.
(4)
6.
Helen thinks of two numbers.
The Highest Common Factor (HCF) of her two numbers is 5
The Lowest Common Multiple (LCM) of her two numbers is a multiple of 12
Write down two possible numbers that Helen could be thinking of.
......................... and .........................
(2)
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7.
At a rugby match, the ratio of children to adults is 2 : 3
There are 6000 children in the crowd.
Each adult ticket costs £8
Each child ticket costs a quarter of the adult ticket.
Work out the total money made from ticket sales.
£.........................
(4)
8.
The first 5 terms in a number sequence are
10
7
4
1
-2
...
...
(a) Work out the nth term of the sequence.
.........................
(2)
(b) Find the 50th term of the sequence.
.........................
(2)
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9.
On the grid, draw y = 4x − 5 for values of x from −2 to 2.
(4)
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10.
A straight line L is shown on the grid.
Work out the equation of line L
.........................
(3)
11.
The equation
x³ + 4x = 170
has a solution between 5 and 6.
Use trial and improvement to find this solution.
Give your answer correct to 1 decimal places.
You must show all your working.
x = ...............................
(4)
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12. The table gives information about the holiday destination of 18 students in a class.
Draw an accurate pie chart to show this information.
(4)
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13.
The table shows the time spent revising and the test scores of ten students.
The first seven points have been plotted on this scatter diagram.
(a) Complete the scatter diagram.
(1)
(b) Describe the relationship shown in the scatter diagram.
................................................................................................................................
................................................................................................................................
(1)
(c) Draw a line of best fit on your scatter diagram.
(1)
(d) Another student has spent 4.5 hours revising.
Use your line of best fit to estimate their test result.
.........................%
(1)
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14.
The frequency table gives information about the weight of some rugby players.
(a) Draw a frequency polygon to represent this data.
(2)
(b) Write down the modal class interval.
.........................
(1)
One player is chosen at random.
(c) Work out the probability that this player is more than 90kg.
.........................
(1)
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15.
Helen plays darts.
Here are her scores.
55
23
48
29
41
47
35
40
35
44
34
35
36
(a) Draw an ordered stem and leaf diagram to show her scores.
(3)
(b) Write down the mode.
......................
(1)
(c) Work out the range.
......................
(1)
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16.
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)
17.
Calculate the size of angle BAC.
....................⁰
(3)
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18.
Shown below are two mathematically similar cuboids.
The volume of cuboid B is 1728cm³
Find the volume of cuboid A.
..........................cm³
(2)
19.
Fiona leaves £1600 in the bank for four years.
It earns compound interest of 4% each year.
Calculate the total amount Fiona has in the bank at the end of the four years.
£.........................
(3)
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20.
Lauren is given a 12% pay rise.
Her new salary is £24,080
What was Lauren’s salary before the pay rise?
£.........................
(3)
21.
Solve the simultaneous equations
3x + 5y = 1
2x − 3y = 7
Do not use trial and improvement
x = ......................... y = ..........................
(4)
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22.
The ages of 100 teachers were recorded.
The table below shows this information.
(a) Complete the cumulative frequency column in the table.
(1)
(b) Draw a cumulative frequency graph for this information.
(2)
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23.
ABCD is a parallelogram.
Prove that triangles ABD and BCD are congruent.
(4)
24.
In triangle ABC the length of AC is 15cm.
Angle ABC = 112°
Angle BAC = 33°
Work out the length of BC.
.........................cm
(3)
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25.
Calculate the length of BC.
.........................cm
(3)
26.
The area of the triangle shown is 25cm².
Calculate the perimeter of the triangle.
.........................cm
(4)
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27.
Declan ran a distance of 200m in a time of 26.2 seconds.
The distance of 200m was measured to the nearest 10 metres.
The time of 26.2 was measured to the nearest tenth of a second.
(a) Work out the upper bound for Declan’s average speed.
.........................m/s
(2)
(b) Work out the lower bound for Declan’s average speed.
.........................m/s
(2)
28.
Write down the equation of the line that is parallel to x + 2y = 4 and passes
through the point (0, 5)
..............................
(2)
29.
The point A is (5, −2) and the point B is (11, 1).
Find the equation of the line perpendicular to AB passing through the origin.
..............................
(3)
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30.
The region labelled R satisfies three inequalities.
State the three inequalities
.......................................
.......................................
.......................................
(3)
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31.
(a)
Factorise y² − 12y − 64
.....................................
(2)
(b)
Factorise 2y² + 7y − 15
.....................................
(3)
(c)
Factorise fully 2y² − 50
.....................................
(2)
(d)
Factorise y² − 13y + 36
.....................................
(2)
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32.
Solve the quadratic equation 7x² − 25x + 2 = 0
Give your answers to two decimal places.
....................................................................
(3)
32.
Declan works in a confectioners.
He is asked to test a sample of 40 chocolates stratified by type of chocolate.
The table shows the number of each type of chocolate in the shop.
Calculate the number of dark chocolates required for his stratified sample.
...............................
(3)
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33.
The lengths of 200 fish in a pond, l centimetres, are recorded below.
Draw a histogram for this data.
(3)
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34.
Prove that the sum of three consecutive even numbers is always a multiple of 6
(3)
35.
Solve the equations
x² + y² = 45
5x − 3y = 21
Give your answers to 1 decimal place.
.....................................................
(5)
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36.
Here is the graph of y = f(x)
The point P(4, 1) is a point on the graph.
What are the coordinates of the new position of P when the graph y = f(x) is
transformed to the graph of
(a) y = −f(x)
(............... , ...............)
(1)
(b) y = f(x) + 4
(............... , ...............)
(1)
(c) y = f(2x)
(............... , ...............)
(1)
(d) y = f(x + 5)
(............... , ...............)
(1)
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37.
..............................
(5)
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38.
A square based pyramid 1 is divided into two parts:
a square based pyramid 2 and a frustum 3, as shown.
Pyramid 1 has a base of side length 8cm.
Pyramid 2 has a base of side length 4cm.
The perpendicular height of pyramid 1 is 10cm.
Calculate the volume of frustum 3.
........................cm³
(4)
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