What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
31
1, 31.
Subtract the 4th from the 7th multiples of:
6
18
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) 33.84; 33.8
b) 682554; 683000
c) 76; 76.0
d) 0.007695; 0.00770
Find the area of a triangle that has a base of 5cm and a height of 10cm.
25cm2
Find the area of a trapezium that has a base of 10cm, a height of 8cm and a top (parallel to base) of 4cm. 56cm2
Evaluate:
\( \frac{3}{5} + \frac{6}{9}\) \(= 1\frac{4}{15}\)
Evaluate:
\( \frac{1}{3} × \frac{5}{7}\) \(= \frac{5}{21}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{9}{7}\) \(= \frac{7}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{5}\) \(= 80\)%
Find the area of a circle that has a radius of 7cm. Give your answer to three significant figures.
154cm2
Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm
Calculate the value of:
7.9 + 6.7
= 14.6
Calculate the value of:
9.3 − 1.9
= 7.4
Calculate the value of:
2.7 × 6.4
= 17.28
Calculate the value of:
139.5 ÷ 15
= 9.3
What is the value of:
12
= 1
What is the value of:
\(5^{-1}\)
\(= \frac{1}{5}\)
Calculate the value of:
99 + 55
= 154
Calculate the value of:
63 − 26
= 37
Calculate the value of:
65 × 58
= 3770
Calculate the value of:
1501 ÷ 19
= 79
Find the value of:
55% of 300
= 165
Find the value of:
2.57 × 105
= 257000
Find the highest common factor of thirty two and sixteen.
= 16
5 × 3 = 15 | 3 × 3 = 9 |
8 × 4 = 32 | 6 × 5 = 30 |
9 × 3 = 27 | 4 × 5 = 20 |
7 × 4 = 28 | 2 × 4 = 8 |
4 × 3 = 12 | 7 × 5 = 35 |
6 × 4 = 24 | 5 × 10 = 50 |
8 × 8 = 64 | 9 × 4 = 36 |
3 × 10 = 30 | 2 × 3 = 6 |
8 × 2 = 16 | 7 × 2 = 14 |
5 × 2 = 10 | 3 × 2 = 6 |
4 × 2 = 8 | 9 × 2 = 18 |
6 × 2 = 12 | 2 × 2 = 4 |
6 × 3 = 18 | 3 × 3 = 9 |
4 × 3 = 12 | 5 × 3 = 15 |
8 × 3 = 24 | 9 × 3 = 27 |
7 × 3 = 21 | 2 × 3 = 6 |
5 × 4 = 20 | 7 × 4 = 28 |
8 × 4 = 32 | 3 × 4 = 12 |
4 × 4 = 16 | 6 × 4 = 24 |
9 × 4 = 36 | 2 × 4 = 8 |
5 × 5 = 25 | 4 × 5 = 20 |
3 × 5 = 15 | 6 × 5 = 30 |
7 × 5 = 35 | 9 × 5 = 45 |
8 × 5 = 40 | 2 × 5 = 10 |
5 × 6 = 30 | 6 × 6 = 36 |
8 × 6 = 48 | 4 × 6 = 24 |
3 × 6 = 18 | 7 × 6 = 42 |
9 × 6 = 54 | 2 × 6 = 12 |
8 × 7 = 56 | 5 × 7 = 35 |
9 × 7 = 63 | 6 × 7 = 42 |
4 × 7 = 28 | 7 × 7 = 49 |
3 × 7 = 21 | 2 × 7 = 14 |
4 × 8 = 32 | 9 × 8 = 72 |
6 × 8 = 48 | 3 × 8 = 24 |
7 × 8 = 56 | 5 × 8 = 40 |
8 × 8 = 64 | 2 × 8 = 16 |
3 × 9 = 27 | 9 × 9 = 81 |
5 × 9 = 45 | 6 × 9 = 54 |
4 × 9 = 36 | 7 × 9 = 63 |
8 × 9 = 72 | 2 × 9 = 18 |
3 × 12 = 36 | 7 × 12 = 84 |
9 × 12 = 108 | 6 × 12 = 72 |
5 × 12 = 60 | 4 × 12 = 48 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{32}{48}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{2}{3} − \frac{5}{6}\) \(= \frac{5}{6}\)
Find BC if AB = 3.3m and AC = 5.3m. 6.24m
Find angle ABC if AB = 4.2m and BC = 6m. 45.6o
Find AC if angle ABC = 41o and BC = 3.9m. 2.56m
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.
\( \frac{3}{6}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.42\) = \( \frac{21}{50}\)
Increase £100 by 5%
£105
What is the lowest common multiple of nine and fifteen.
= 45
3,11,19,27,35...
Find the:
a) next term; 43
b) nth term; 8n - 5
c) term number 49; 387
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 8; 512
If £180 is invested for 5 years with a simple interest rate of 2%, find the amount of interest earned. £18.00
If £140 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £223.14
If £1 is worth $1.28, convert:
a) £160 to dollars; $204.80
b) $240 to pounds; £187.50
What are the coordinates of the midpoint of the line joining:
\((0,-6) \text{ and } (6,6)\)
(3,0)
What is the gradient of the line joining:
\((1,3) \text{ and } (7,6)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,4),(8,9),(0,7)\)
(3,12)
a) 5 − 14 = -9
b) 5 × (-8) = -40
c) (11−22)(9−19) = 110
d) 40 ÷ (-8) = -5
e) (-11)2 = 121
If p = 5, q = 20 and
r = -8 evaluate:
a) 2q − p = 35
b) pq + r = 92
c) p2 − 5q - r = -67
Solve:
\(4x = 8\)
\(x = 2\)
Solve:
\(3x +1= 13\)
\(x = 4\)
Solve:
\(3x -6= 2x + -3\)
\(x = 3\)
Solve:
\(5(4x -4)-11= 49\)
\(x = 4\)
Solve:
\(4(5x + 4)= 3(2x + 2)\)
\(x = -0.714 \text{(to 3 sf)}\)
Solve:
\(5x-5y = 0\)
\(3x+5y = 24\)
\(x = 3, y = 3\)
Solve:
\(3x-2y = 2\)
\(5x+8y = 60\)
\(x = 4, y = 5\)
Solve:
\(3x+7y = 68.5\)
\(5x+2y = 32\)
\(x = 3, y = 8.5\)
Find the union of:
{6,7,8,9,10} and
{1,3,6,10,15}
{1,3,6,7,8,9,10,15}
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 071o. What bearing would it return on from B to A? 251o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
28 ÷ 4 × 14 ÷ 2
49
Simplify the following by collecting like terms:
\(3x+5x^2-8x+x^2\)
\(6x^2-5x\)
Divide 63 in the ratio
5:4
35 and 28
Draw a rough sketch of the graph of:
\(2y=x\)
Gradient 0.5
y intercept 0
Express the following number as the product of prime numbers:
24
2 x 2 x 2 x 3
In a sale an item costs £28 after a 30% reduction. What was the original price?
£40
Find the mean, mode, median and range of the following:
1,2,3,4,5
Mean = 3, no mode,
median = 3 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.878787... \(\frac{29}{33}\)
Decrease £40 by 30%
£28
Expand:
\(6(7x-9)\)
\(42x-54\)
Expand:
\((2x+1)(2x-4)\)
\(4x^2-6x-4\)
Factorise:
\(56x-63\)
\(7(8x-9)\)
Factorise:
\(x^2-9\)
\((x+3)(x-3)\)
Factorise:
\(2x^2-3x-9\)
\((2x+3)(x-3)\)
Which theorem?
Find the value of:
5.43 × 10-5
= 0.0000543
Write in standard form:
328000
= 3.28 × 105
Write in standard form:
0.0000601
= 6.01 × 10-5
Find the nth term:
\(-1, 5, 13, 23, 35, \)
\(n^2+3n-5\)
Multiply 5 × 103
by 6 × 103 and give the answer in standard form.
= 3 × 107
Solve:
\(x^2-x-20= 0\)
\(x = 5\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+4x-1 = 0\)
\(x = 0.225\) and \(-2.22\)
What is the size of each interior angle of a regular pentagon?
108°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
7596 ÷ 9
= 844
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the square of
9
81
What is the difference between the 8th and the 9th prime numbers?
23 - 19 = 4
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: 4.4, 0.44, 4, 4.44, 4.04, 0.4, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 1.8m, 107cm, 17cm, 18mm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 173ml, 17cl, 18cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
j = 97
h = 75
Round to one significant figure:
a) 62.93; 60
b) 167162; 200000
c) 62; 60
d) 0.00914; 0.009
Round each value to one significant figure to make an estimate:$$(173 + 9.7) \div 19$$\((200 + 10) \div 20 = 10.5\)
A pie chart shows the colours of 12 books. What sector angle represents the
8 red books?
240°
What is the equation?
\(y=x-4\)A pie chart shows the colours of 24 hats. How many green hats are represented
by a sector
angle of 210°?
14
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