What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
37
1, 37.
Subtract the 6th from the 10th multiples of:
10
40
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round to three significant figures:
a) 29.96; 30.0
b) 972200; 972000
c) 27; 27.0
d) 0.002795; 0.00280
Find the area of a triangle that has a base of 7cm and a height of 11cm.
38.5cm2
Find the area of a trapezium that has a base of 13cm, a height of 12cm and a top (parallel to base) of 3cm. 96cm2
Evaluate:
\( \frac{3}{4} + \frac{7}{8}\) \(= 1\frac{5}{8}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{7}{6}\) \(= \frac{3}{7}\)
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 12cm. Give your answer to three significant figures.
452cm2
Find the circumference of a circle that has a radius of 3cm. Give your answer to three significant figures.
18.8cm
Calculate the value of:
7.5 + 9.7
= 17.2
Calculate the value of:
5.1 − 1.6
= 3.5
Calculate the value of:
4.5 × 4.6
= 20.7
Calculate the value of:
27.6 ÷ 12
= 2.3
What is the value of:
23
= 8
What is the value of:
\(1^{-2}\)
\(= 1\)
Calculate the value of:
57 + 78
= 135
Calculate the value of:
71 − 26
= 45
Calculate the value of:
35 × 92
= 3220
Calculate the value of:
1425 ÷ 25
= 57
Find the value of:
30% of 240
= 72
Find the value of:
5.43 × 103
= 5430
Find the highest common factor of thirty and fifteen.
= 15
9 × 4 = 36 | 6 × 5 = 30 |
7 × 5 = 35 | 3 × 3 = 9 |
8 × 3 = 24 | 4 × 3 = 12 |
5 × 4 = 20 | 2 × 5 = 10 |
9 × 2 = 18 | 3 × 8 = 24 |
8 × 7 = 56 | 5 × 10 = 50 |
6 × 3 = 18 | 4 × 4 = 16 |
7 × 9 = 63 | 2 × 3 = 6 |
3 × 2 = 6 | 6 × 2 = 12 |
8 × 2 = 16 | 9 × 2 = 18 |
5 × 2 = 10 | 4 × 2 = 8 |
7 × 2 = 14 | 2 × 2 = 4 |
7 × 3 = 21 | 6 × 3 = 18 |
8 × 3 = 24 | 3 × 3 = 9 |
9 × 3 = 27 | 4 × 3 = 12 |
5 × 3 = 15 | 2 × 3 = 6 |
6 × 4 = 24 | 7 × 4 = 28 |
9 × 4 = 36 | 3 × 4 = 12 |
5 × 4 = 20 | 8 × 4 = 32 |
4 × 4 = 16 | 2 × 4 = 8 |
4 × 5 = 20 | 7 × 5 = 35 |
5 × 5 = 25 | 3 × 5 = 15 |
8 × 5 = 40 | 9 × 5 = 45 |
6 × 5 = 30 | 2 × 5 = 10 |
9 × 6 = 54 | 5 × 6 = 30 |
7 × 6 = 42 | 6 × 6 = 36 |
4 × 6 = 24 | 8 × 6 = 48 |
3 × 6 = 18 | 2 × 6 = 12 |
8 × 7 = 56 | 6 × 7 = 42 |
3 × 7 = 21 | 7 × 7 = 49 |
5 × 7 = 35 | 4 × 7 = 28 |
9 × 7 = 63 | 2 × 7 = 14 |
7 × 8 = 56 | 5 × 8 = 40 |
8 × 8 = 64 | 3 × 8 = 24 |
9 × 8 = 72 | 6 × 8 = 48 |
4 × 8 = 32 | 2 × 8 = 16 |
6 × 9 = 54 | 7 × 9 = 63 |
3 × 9 = 27 | 8 × 9 = 72 |
5 × 9 = 45 | 9 × 9 = 81 |
4 × 9 = 36 | 2 × 9 = 18 |
8 × 12 = 96 | 4 × 12 = 48 |
9 × 12 = 108 | 5 × 12 = 60 |
3 × 12 = 36 | 7 × 12 = 84 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{4}{8}\) \(= \frac{1}{2}\)
Evaluate:
\( 1\frac{3}{4} − \frac{5}{6}\) \(= \frac{11}{12}\)
Find AC if AB = 4.4m and BC = 5.7m. 3.62m
Find angle BCA if AB = 3m and BC = 4.2m. 45.6o
Find AC if angle ABC = 56o and BC = 3.6m. 2.98m
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.
\( \frac{1}{3}\) \(= 0.333\)
Convert this decimal to a fraction.
\(0.25\) = \( \frac{1}{4}\)
Increase £140 by 5%
£147
What is the lowest common multiple of ten and thirty.
= 30
7,17,27,37,47...
Find the:
a) next term; 57
b) nth term; 10n - 3
c) term number 47; 467
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 11; 5120
If £100 is invested for 5 years with a simple interest rate of 2%, find the amount of interest earned. £10.00
If £160 is invested with an interest rate of 6% compounded annually, find the value of the investment after 9 years. £270.32
If £1 is worth $1.23, convert:
a) £200 to dollars; $246.00
b) $140 to pounds; £113.82
What are the coordinates of the midpoint of the line joining:
\((1,9) \text{ and } (13,21)\)
(7,15)
What is the gradient of the line joining:
\((-6,1) \text{ and } (-3,6)\)
\(\frac{5}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,5),(9,8),(2,9)\)
(6,12)
a) 11 − 18 = -7
b) 11 × (-6) = -66
c) (11−21)(6−11) = 50
d) 66 ÷ (-6) = -11
e) (-11)2 = 121
If p = 5, q = 23 and
r = -5 evaluate:
a) 2q − p = 41
b) pq + r = 110
c) p2 − 5q - r = -85
Solve:
\(3x = 27\)
\(x = 9\)
Solve:
\(5x -5= 5\)
\(x = 2\)
Solve:
\(6x -6= 3x + 3\)
\(x = 3\)
Solve:
\(2(2x -6)+11= 11\)
\(x = 3\)
Solve:
\(5(5x + 2)= 4(2x + 2)\)
\(x = -0.118 \text{(to 3 sf)}\)
Solve:
\(3x-2y = 8\)
\(4x+2y = 34\)
\(x = 6, y = 5\)
Solve:
\(4x+5y = 38\)
\(5x+10y = 55\)
\(x = 7, y = 2\)
Solve:
\(5x+5y = 20\)
\(3x-2y = 27\)
\(x = 7, y = -3\)
Find the union of:
{6,7,8,9,10} and
{2,6,12}
{2,6,7,8,9,10,12}
Find the intersection of:
{1,3,5,7,9} and
{2,6,12}
∅
A plane flies from point A to point B on a bearing of 272o. What bearing would it return on from B to A? 092o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
9 + 9 × 8 − 7
74
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 63 in the ratio
6:1
54 and 9
Draw a rough sketch of the graph of:
\(y=x-2\)
Gradient 1
y intercept -2
Express the following number as the product of prime numbers:
120
2 x 2 x 2 x 3 x 5
In a sale an item costs £48 after a 20% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
1,3,5,7,9
Mean = 5, no mode,
median = 5 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.737373... \(\frac{73}{99}\)
Decrease £20 by 5%
£19
Expand:
\(6(6x-5)\)
\(36x-30\)
Expand:
\((4x+3)(3x-1)\)
\(12x^2+5x-3\)
Factorise:
\(9x-9\)
\(9(x-1)\)
Factorise:
\(x^2+x-6\)
\((x+3)(x-2)\)
Factorise:
\(5x^2+19x-4\)
\((x+4)(5x-1)\)
Which theorem?
Find the value of:
3.26 × 10-4
= 0.000326
Write in standard form:
79400
= 7.94 × 104
Write in standard form:
0.0766
= 7.66 × 10-2
Find the nth term:
\(1, 10, 21, 34, 49, \)
\(n^2+6n-6\)
Multiply 9 × 106
by 9 × 106 and give the answer in standard form.
= 8.1 × 1013
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2-3x-1 = 0\)
\(x = 1.26\) and \(-0.264\)
What is the size of each exterior angle of a regular pentagon?
72°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
1872 ÷ 3
= 624
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What are the next three square numbers after
4
9, 16, 25
What are the next three prime numbers after
13
17, 19, 23
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: 0.55, 5.5, 5, 0.5, 5.05, 5.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 1.8m, 18mm, 17cm, 107cm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 173ml, 18cl, 200ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
b = 52
j = 58
Round to one significant figure:
a) 57.06; 60
b) 492507; 500000
c) 14; 10
d) 0.00926; 0.009
Round each value to one significant figure to make an estimate:$$(192 + 3.9) \div 15$$\((200 + 4) \div 20 = 10.2\)
A pie chart shows the colours of 20 books. What sector angle represents the
18 red books?
324°
What is the equation?
\(y=0.5x-1.5\)A pie chart shows the colours of 20 hats. How many green hats are represented
by a sector
angle of 252°?
14
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