What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
24
1, 2, 3, 4, 6, 8, 12, 24.
Subtract the 5th from the 10th multiples of:
3
15
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round to three significant figures:
a) 41.91; 41.9
b) 860886; 861000
c) 61; 61.0
d) 0.006195; 0.00620
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 14cm, a height of 11cm and a top (parallel to base) of 4cm. 99cm2
Evaluate:
\( \frac{2}{3} + \frac{4}{5}\) \(= 1\frac{7}{15}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{5}{10}\) \(= 50\)%
Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.
254cm2
Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
8.8 + 9.6
= 18.4
Calculate the value of:
6.3 − 1.8
= 4.5
Calculate the value of:
5.6 × 6.4
= 35.84
Calculate the value of:
55.5 ÷ 15
= 3.7
What is the value of:
53
= 125
What is the value of:
\(5^{-3}\)
\(= \frac{1}{125}\)
Calculate the value of:
48 + 36
= 84
Calculate the value of:
83 − 25
= 58
Calculate the value of:
96 × 54
= 5184
Calculate the value of:
1725 ÷ 25
= 69
Find the value of:
20% of 300
= 60
Find the value of:
3.66 × 106
= 3660000
Find the highest common factor of fourteen and four.
= 2
8 × 3 = 24 | 5 × 5 = 25 |
6 × 4 = 24 | 3 × 2 = 6 |
4 × 3 = 12 | 7 × 3 = 21 |
9 × 3 = 27 | 2 × 5 = 10 |
9 × 12 = 108 | 8 × 10 = 80 |
6 × 12 = 72 | 7 × 11 = 77 |
4 × 10 = 40 | 5 × 5 = 25 |
3 × 5 = 15 | 2 × 9 = 18 |
7 × 2 = 14 | 9 × 2 = 18 |
5 × 2 = 10 | 3 × 2 = 6 |
4 × 2 = 8 | 6 × 2 = 12 |
8 × 2 = 16 | 2 × 2 = 4 |
8 × 3 = 24 | 3 × 3 = 9 |
5 × 3 = 15 | 9 × 3 = 27 |
4 × 3 = 12 | 7 × 3 = 21 |
6 × 3 = 18 | 2 × 3 = 6 |
4 × 4 = 16 | 9 × 4 = 36 |
7 × 4 = 28 | 8 × 4 = 32 |
6 × 4 = 24 | 3 × 4 = 12 |
5 × 4 = 20 | 2 × 4 = 8 |
9 × 5 = 45 | 5 × 5 = 25 |
4 × 5 = 20 | 6 × 5 = 30 |
7 × 5 = 35 | 3 × 5 = 15 |
8 × 5 = 40 | 2 × 5 = 10 |
8 × 6 = 48 | 3 × 6 = 18 |
9 × 6 = 54 | 6 × 6 = 36 |
4 × 6 = 24 | 5 × 6 = 30 |
7 × 6 = 42 | 2 × 6 = 12 |
5 × 7 = 35 | 7 × 7 = 49 |
8 × 7 = 56 | 6 × 7 = 42 |
3 × 7 = 21 | 4 × 7 = 28 |
9 × 7 = 63 | 2 × 7 = 14 |
3 × 8 = 24 | 6 × 8 = 48 |
5 × 8 = 40 | 7 × 8 = 56 |
8 × 8 = 64 | 4 × 8 = 32 |
9 × 8 = 72 | 2 × 8 = 16 |
4 × 9 = 36 | 3 × 9 = 27 |
6 × 9 = 54 | 7 × 9 = 63 |
8 × 9 = 72 | 5 × 9 = 45 |
9 × 9 = 81 | 2 × 9 = 18 |
3 × 12 = 36 | 7 × 12 = 84 |
9 × 12 = 108 | 8 × 12 = 96 |
6 × 12 = 72 | 5 × 12 = 60 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{10}{15}\) \(= \frac{2}{3}\)
Evaluate:
\( 3\frac{1}{2} − \frac{4}{5}\) \(= 2\frac{7}{10}\)
Find BC if AB = 5.6m and AC = 7m. 8.96m
Find angle ABC if AC = 4.2m and BC = 5.7m. 47.5o
Find AC if angle ABC = 27o and AB = 3.9m. 1.99m
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.
\( \frac{5}{6}\) \(= 0.833\)
Convert this decimal to a fraction.
\(0.8\) = \( \frac{4}{5}\)
Increase £140 by 10%
£154
What is the lowest common multiple of four and sixteen.
= 16
3,9,15,21,27...
Find the:
a) next term; 33
b) nth term; 6n - 3
c) term number 40; 237
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 8; 640
If £160 is invested for 9 years with a simple interest rate of 6%, find the amount of interest earned. £86.40
If £200 is invested with an interest rate of 4% compounded annually, find the value of the investment after 8 years. £273.71
If £1 is worth $1.21, convert:
a) £220 to dollars; $266.20
b) $180 to pounds; £148.76
What are the coordinates of the midpoint of the line joining:
\((-5,3) \text{ and } (5,15)\)
(0,9)
What is the gradient of the line joining:
\((-5,-2) \text{ and } (0,1)\)
\(\frac{3}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,5),(10,9),(0,11)\)
(6,15)
a) 6 − 16 = -10
b) 6 × (-10) = -60
c) (7−12)(9−18) = 45
d) 60 ÷ (-10) = -6
e) (-7)2 = 49
If p = 6, q = 22 and
r = -12 evaluate:
a) 2q − p = 38
b) pq + r = 120
c) p2 − 5q - r = -62
Solve:
\(4x = 8\)
\(x = 2\)
Solve:
\(2x -4= 12\)
\(x = 8\)
Solve:
\(6x -3= 4x + 11\)
\(x = 7\)
Solve:
\(4(3x +6)+7= 91\)
\(x = 5\)
Solve:
\(4(3x + 5)= 5(2x + 5)\)
\(x = 2.5\)
Solve:
\(4x-2y = 6\)
\(3x-2y = 3\)
\(x = 3, y = 3\)
Solve:
\(3x+5y = 43\)
\(7x+10y = 92\)
\(x = 6, y = 5\)
Solve:
\(3x+7y = -3.5\)
\(5x+2y = 28\)
\(x = 7, y = -3.5\)
Find the union of:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{1,3,5,6,7,8,9,10}
Find the intersection of:
{6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 024o. What bearing would it return on from B to A? 204o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
4 + (6 × 62 − 2)
218
Simplify the following by collecting like terms:
\(7d−3e−5d+7e\)
\(4e+2d\)
Divide 110 in the ratio
2:9
20 and 90
Draw a rough sketch of the graph of:
\(y=2x\)
Gradient 2
y intercept 0
Express the following number as the product of prime numbers:
270
2 x 3 x 3 x 3 x 5
In a sale an item costs £102 after a 15% reduction. What was the original price?
£120
Find the mean, mode, median and range of the following:
5,8,8,6,7,8
Mean = 7, mode = 8,
median = 7.5 and range = 3
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.313131... \(\frac{31}{99}\)
Decrease £140 by 25%
£105
Expand:
\(5(6x-5)\)
\(30x-25\)
Expand:
\((2x+1)(x-4)\)
\(2x^2-7x-4\)
Factorise:
\(2x-4\)
\(2(x-2)\)
Factorise:
\(x^2-9\)
\((x+3)(x-3)\)
Factorise:
\(x^2-3x-4\)
\((x+1)(x-4)\)
Which theorem?
Find the value of:
3.98 × 10-2
= 0.0398
Write in standard form:
2530
= 2.53 × 103
Write in standard form:
0.0258
= 2.58 × 10-2
Find the nth term:
\(6, 10, 16, 24, 34, \)
\(n^2+n+4\)
Multiply 8 × 103
by 5 × 104 and give the answer in standard form.
= 4 × 108
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-3x-1 = 0\)
\(x = 1.78\) and \(-0.281\)
What is the size of each interior angle of a regular octagon?
135°
Make \(f\) the subject of the formula
$$h=g(e-f)$$
$$f=e-\frac{h}{g}$$
Calculate the value of:
2460 ÷ 5
= 492
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the square root of
9
3
What is the difference between the 11th and the 12th prime numbers?
37 - 31 = 6
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: 7.07, 7, 0.7, 7.77, 7.7, 0.77, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 107cm, 1.8m, 17cm, 18mm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 18cl, 173ml, 200ml, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
j = 58
Round to one significant figure:
a) 72.97; 70
b) 463920; 500000
c) 28; 30
d) 0.00134; 0.001
Round each value to one significant figure to make an estimate:$$3.9 \times 24 - 171$$\(4 \times 20 - 200 = -120\)
A pie chart shows the colours of 9 books. What sector angle represents the
3 red books?
120°
What is the equation?
\(y=2-x\)A pie chart shows the colours of 20 hats. How many green hats are represented
by a sector
angle of 144°?
8
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