What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
27
1, 3, 9, 27.
Subtract the 5th from the 8th multiples of:
8
24
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 23.95; 24.0
b) 883442; 883000
c) 31; 31.0
d) 0.003195; 0.00320
Find the area of a triangle that has a base of 5cm and a height of 9cm.
22.5cm2
Find the area of a trapezium that has a base of 9cm, a height of 10cm and a top (parallel to base) of 3cm. 60cm2
Evaluate:
\( \frac{2}{3} + \frac{6}{8}\) \(= 1\frac{5}{12}\)
Evaluate:
\( \frac{3}{5} × \frac{7}{8}\) \(= \frac{21}{40}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{6}{5}\) \(= \frac{5}{9}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage to 3 significant figures.
\( \frac{1}{6}\) \(= 16.7\)%
Find the area of a circle that has a radius of 8cm. Give your answer to three significant figures.
201cm2
Find the circumference of a circle that has a radius of 1cm. Give your answer to three significant figures.
6.28cm
Calculate the value of:
2.8 + 7.4
= 10.2
Calculate the value of:
6.2 − 1.5
= 4.7
Calculate the value of:
9.3 × 8.8
= 81.84
Calculate the value of:
123.5 ÷ 13
= 9.5
What is the value of:
42
= 16
What is the value of:
\(4^{-2}\)
\(= \frac{1}{16}\)
Calculate the value of:
48 + 78
= 126
Calculate the value of:
63 − 27
= 36
Calculate the value of:
49 × 47
= 2303
Calculate the value of:
2225 ÷ 25
= 89
Find the value of:
40% of 380
= 152
Find the value of:
1.76 × 102
= 176
Find the highest common factor of forty five and twenty.
= 5
9 × 2 = 18 | 6 × 3 = 18 |
7 × 3 = 21 | 5 × 4 = 20 |
3 × 3 = 9 | 8 × 2 = 16 |
4 × 5 = 20 | 2 × 5 = 10 |
6 × 10 = 60 | 7 × 5 = 35 |
8 × 3 = 24 | 4 × 9 = 36 |
9 × 3 = 27 | 5 × 2 = 10 |
3 × 10 = 30 | 2 × 8 = 16 |
6 × 2 = 12 | 3 × 2 = 6 |
7 × 2 = 14 | 8 × 2 = 16 |
5 × 2 = 10 | 9 × 2 = 18 |
4 × 2 = 8 | 2 × 2 = 4 |
7 × 3 = 21 | 6 × 3 = 18 |
5 × 3 = 15 | 9 × 3 = 27 |
3 × 3 = 9 | 4 × 3 = 12 |
8 × 3 = 24 | 2 × 3 = 6 |
8 × 4 = 32 | 3 × 4 = 12 |
5 × 4 = 20 | 4 × 4 = 16 |
6 × 4 = 24 | 9 × 4 = 36 |
7 × 4 = 28 | 2 × 4 = 8 |
5 × 5 = 25 | 8 × 5 = 40 |
4 × 5 = 20 | 7 × 5 = 35 |
6 × 5 = 30 | 9 × 5 = 45 |
3 × 5 = 15 | 2 × 5 = 10 |
8 × 6 = 48 | 5 × 6 = 30 |
9 × 6 = 54 | 3 × 6 = 18 |
4 × 6 = 24 | 6 × 6 = 36 |
7 × 6 = 42 | 2 × 6 = 12 |
3 × 7 = 21 | 4 × 7 = 28 |
9 × 7 = 63 | 7 × 7 = 49 |
5 × 7 = 35 | 6 × 7 = 42 |
8 × 7 = 56 | 2 × 7 = 14 |
5 × 8 = 40 | 9 × 8 = 72 |
8 × 8 = 64 | 7 × 8 = 56 |
4 × 8 = 32 | 6 × 8 = 48 |
3 × 8 = 24 | 2 × 8 = 16 |
4 × 9 = 36 | 6 × 9 = 54 |
3 × 9 = 27 | 8 × 9 = 72 |
9 × 9 = 81 | 7 × 9 = 63 |
5 × 9 = 45 | 2 × 9 = 18 |
4 × 12 = 48 | 8 × 12 = 96 |
3 × 12 = 36 | 9 × 12 = 108 |
7 × 12 = 84 | 6 × 12 = 72 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{25}{35}\) \(= \frac{5}{7}\)
Evaluate:
\( 1\frac{2}{3} − \frac{4}{5}\) \(= \frac{13}{15}\)
Find AB if AC = 4.7m and BC = 6.5m. 4.49m
Find angle BCA if AC = 4.5m and BC = 6m. 41.4o
Find AC if angle ABC = 30o and BC = 3.9m. 1.95m
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Convert this fraction to a decimal to 3 significant figures.
\( \frac{5}{9}\) \(= 0.556\)
Convert this decimal to a fraction.
\(0.19\) = \( \frac{19}{100}\)
Increase £140 by 45%
£203
What is the lowest common multiple of twelve and twenty.
= 60
3,8,13,18,23...
Find the:
a) next term; 28
b) nth term; 5n - 2
c) term number 30; 148
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 12; 25165824
If £120 is invested for 8 years with a simple interest rate of 5%, find the amount of interest earned. £48.00
If £180 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £202.59
If £1 is worth $1.21, convert:
a) £120 to dollars; $145.20
b) $200 to pounds; £165.29
What are the coordinates of the midpoint of the line joining:
\((-7,-9) \text{ and } (1,-3)\)
(-3,-6)
What is the gradient of the line joining:
\((-9,6) \text{ and } (-6,10)\)
\(\frac{4}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,4),(6,8),(-2,8)\)
(2,12)
a) 10 − 17 = -7
b) 10 × (-6) = -60
c) (8−16)(9−18) = 72
d) 60 ÷ (-6) = -10
e) (-11)2 = 121
If p = 5, q = 23 and
r = -12 evaluate:
a) 2q − p = 41
b) pq + r = 103
c) p2 − 5q - r = -78
Solve:
\(3x = 9\)
\(x = 3\)
Solve:
\(4x +9= 41\)
\(x = 8\)
Solve:
\(6x +6= 5x + 13\)
\(x = 7\)
Solve:
\(4(5x +2)+8= 196\)
\(x = 9\)
Solve:
\(4(3x + 3)= 3(2x + 2)\)
\(x = -1\)
Solve:
\(5x-2y = 21\)
\(4x+2y = 24\)
\(x = 5, y = 2\)
Solve:
\(4x-3y = 1\)
\(6x-6y = -6\)
\(x = 4, y = 5\)
Solve:
\(2x+3y = 25.5\)
\(3x-2y = -4\)
\(x = 3, y = 6.5\)
Find the union of:
{1,3,5,7,9} and
{6,7,8,9,10}
{1,3,5,6,7,8,9,10}
Find the intersection of:
{5,6,7,8,9,10} and
{3,4,5,6,7,8}
{5,6,7,8}
A plane flies from point A to point B on a bearing of 354o. What bearing would it return on from B to A? 174o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
(16 − 9)2 + 7 × 8
105
Simplify the following by collecting like terms:
\(2y+2y^2-5y+y^2\)
\(3y^2-3y\)
Divide 90 in the ratio
3:6
30 and 60
Draw a rough sketch of the graph of:
\(2y=x+2\)
Gradient 0.5
y intercept 1
Express the following number as the product of prime numbers:
90
2 x 3 x 3 x 5
In a sale an item costs £32 after a 20% reduction. What was the original price?
£40
Find the mean, mode, median and range of the following:
5,6,7,8,9,10
Mean = 7.5, no mode,
median = 7.5 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.191919... \(\frac{19}{99}\)
Decrease £60 by 40%
£36
Expand:
\(6(5x-6)\)
\(30x-36\)
Expand:
\((x+2)(x-1)\)
\(x^2+x-2\)
Factorise:
\(36x-32\)
\(4(9x-8)\)
Factorise:
\(x^2-x-6\)
\((x+2)(x-3)\)
Factorise:
\(x^2-x-2\)
\((x+1)(x-2)\)
Which theorem?
Find the value of:
4.75 × 10-5
= 0.0000475
Write in standard form:
8020
= 8.02 × 103
Write in standard form:
0.0398
= 3.98 × 10-2
Find the nth term:
\(9, 21, 39, 63, 93, \)
\(3n^2+3n+3\)
Multiply 5 × 103
by 5 × 104 and give the answer in standard form.
= 2.5 × 108
Solve:
\(x^2+2x-8= 0\)
\(x = 2\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-x-2 = 0\)
\(x = 0.843\) and \(-0.593\)
What is the size of each exterior angle of a regular pentagon?
72°
Make \(f\) the subject of the formula
$$h=g(e-f)$$
$$f=e-\frac{h}{g}$$
Calculate the value of:
5022 ÷ 9
= 558
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What are the next three square numbers after
36
49, 64, 81
What are the three largest prime numbers less than
43
41, 37, 31
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
Write down these numbers: 2, 0.2, 2.2, 2.02, 0.22, 2.22, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,
Write down these lengths: 1.08m, 18mm, 107cm, 17cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 18cl, 17cl, 21cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
c = 81
c = 78
Round to one significant figure:
a) 37.09; 40
b) 900106; 900000
c) 69; 70
d) 0.00626; 0.006
Round each value to one significant figure to make an estimate:$$52 + 7.5 \times 32$$\(50 + 8 \times 30 = 290\)
A pie chart shows the colours of 9 books. What sector angle represents the
4 red books?
160°
What is the equation?
\(y=5-0.5x\)A pie chart shows the colours of 6 hats. How many green hats are represented
by a sector
angle of 240°?
4
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