Download corbett maths video - Acland Burghley School

COMPLETE THIS BOOKLET OF GCSE QUESTIONS WITH YOUR
ANSWERS AND WORKING OUT ON A SEPARATE PIECE OF PAPER
WHEN NECESSARY
THERE WLL BE A TEST ON SIMILAR QUESTIONS IN SEPTEMBER
ALL THESE TOPICS HAVE ALREADY BEEN COVERED IN CLASS
THE FOLLOWING TABLE MAKES THE TOPIC OF EACH QUESTION
CLEAR AND GIVES A MATCHING CORBETT MATHS VIDEO FOR
SUPPORT WHEN ANSWERING THE QUESTION.
CORBETTMATHS.COM > VIDEOS AND WORKSHEETS
Q.
1
2
3
4, 5
6
7
8, 9
10
11, 12
13
14
15
16
17, 18
19, 20
21
22
23
24
25
26
27,28
27, 28
Objective
Addition and Subtraction of whole numbers
Addition and Subtraction of decimals
Area of rectangles
Multiplication of whole numbers
Multiplication of decimals
Division of whole numbers
Division of decimals
Order of operations
Multiples and Factors
Multiples of a number (LCM)
Ordering decimals
Fraction of an amount
Index laws
Rounding
Estimating
Simplifying expressions
Multiplying out brackets
Factorising
Forming and solving linear equations
Expanding double brackets
Factorising quadratics
Finding the nth term rule
Area of a circle and semi-circle
Circumference of a circle
Corbett Maths video
6, 205
90
45
94
98
92,93
211
220,216
218, 219
95
137
17
278, 279a
215
9
13
117
114/115
14
118
288
40, 47
60
1) Find the difference between 903 and 245. (2 marks)
2) Chloe has a ribbon 18 metres long.
She cuts two pieces from the ribbon.
The first piece was 11.28 metres long.
The second piece was 2.6 metres long.
How much ribbon is left? (3 marks)
3) A rectangle has length 23cm and width 45cm. Calculate its area. (2 marks)
4) Scott has a rope 8 metres long.
He says, “I need 9 pieces each 0.89 metres long.”
Will Scott have enough ribbon?
Explain your answer. (3 marks)
5) Evaluate: (3 marks)
a) 2 x 0.3 =
b) 0.2 x 0.3 =
c) 0.002 x 0.03 =
6) 788 students are going to be split into 4 groups. How many students are there going to
be in each group? (1 mark)
7) Six friends are sharing £14.04. How much do they each get? (2 marks)
8) Evaluate: (2 marks)
a) 5 + 3 x 6
b) 6 x 4 − 7 x 3
9) Put brackets in the following statements to make them true: (2 marks)
a) 6 x 7 – 8 = 52
b) 4 + 3 x 7 – 1 =42
10)
Here is a list of numbers: (3 marks)
6 10 11 16 24 30 40
(a) Write down a multiple of 20
(b) Write down a factor of 12
(c) Write down a prime number
11)
A red light flashes every 3 seconds.
A yellow light flashes every 8 seconds.
A green light flashes every 11 seconds
They all flash at the same time.
After how many seconds will they next all flash at the same time? (2 marks)
12)
Trains leave Bristol
to Cardiff every 15 minutes
to London every 21 minutes
A train to Cardiff and a train to London both leave Bristol at 11am.
At what time will a train to Cardiff and a train to London next leave Bristol at the same
time? (3 marks)
13)
Write these numbers from smallest to biggest.
0.92, 0.901, 0.99, 0.099, 0.909 (1 mark)
14)
James earns £800 a month.
He spends ¼ of this money on rent.
James spends ⅖ of the money on food and bills.
How much money has he left? (4 marks)
15)
Simplify: (3 marks)
a) m3 x m4
b) n8 ÷ n4
c) (a3)6
16)
a)
b)
c)
d)
e)
Round: (5 marks)
56.352 to 1 decimal place
8.97 to 1 decimal place
5607012 to three significant figures
0.123456 to four significant figures
0.961 to one significant figure
17)
Work out an estimate for the value of 7.1 x 97 (2 marks)
18)
Estimate the total cost of 31 televisions at £196.50 each and 19 DVD players at
£50.99 each.
Show clearly how you obtained your answer. (3 marks)
19)
Simplify 8c + 2p - 2c + 4p (2 marks)
20)
Write an expression, in terms of x, for the perimeter of this shape. Give your
answer in its simplest form. (3 marks)
21)
Expand: (3 marks)
a) 4(y + 2)
b) 5y(2y + 1)
c) -2(y - 4)
22)
Form and solve an equation to work out the value of x: (4 marks)
23)
Expand and simplify: (6 marks)
a) (x + 5)(x - 1)
b) (w - 2)(w - 7)
24)
Factorise fully: (3 marks)
a) 15y + 20
b) 6x2 – 9x
25)
Factorise: (6 marks)
a) x² + 5x + 6
b) x² + 2x – 8
c) x² - 9
26)
A sequence of numbers is shown.
2 9 16 23 30
(a) Find an expression for the nth term of the sequence. (2 marks)
(b) Find the 100th term in the sequence. (1 mark)
27)
Work out the (i) area and (ii) circumference of this circle. Give your answers in
terms of π and write the correct units for your answers. (4 marks)
28)
A circle has a circumference of 40cm.
Work out the diameter of this circle (in terms of π).
Then work out the area of the circle. (4 marks)