What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
32
1, 2, 4, 8, 16, 32.
Subtract the 5th from the 10th multiples of:
9
45
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) 31.11; 31.1
b) 529438; 529000
c) 65; 65.0
d) 0.006595; 0.00660
Find the area of a triangle that has a base of 6cm and a height of 9cm.
27cm2
Find the area of a trapezium that has a base of 15cm, a height of 12cm and a top (parallel to base) of 5cm. 120cm2
Evaluate:
\( \frac{1}{4} + \frac{6}{8}\) \(= 1\)
Evaluate:
\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{5}{3}\) \(= \frac{3}{10}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{5}{8}\) \(= 62.5\)%
Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.
28.3cm2
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm
Calculate the value of:
2.6 + 8.4
= 11
Calculate the value of:
8.4 − 4.8
= 3.6
Calculate the value of:
7.2 × 7.8
= 56.16
Calculate the value of:
96.9 ÷ 17
= 5.7
What is the value of:
42
= 16
What is the value of:
\(2^{1}\)
\(= 2\)
Calculate the value of:
59 + 44
= 103
Calculate the value of:
84 − 27
= 57
Calculate the value of:
89 × 28
= 2492
Calculate the value of:
1215 ÷ 27
= 45
Find the value of:
45% of 200
= 90
Find the value of:
5.86 × 102
= 586
Find the highest common factor of forty five and fifteen.
= 15
8 × 3 = 24 | 5 × 2 = 10 |
4 × 5 = 20 | 9 × 4 = 36 |
6 × 3 = 18 | 3 × 3 = 9 |
7 × 3 = 21 | 2 × 4 = 8 |
3 × 7 = 21 | 6 × 6 = 36 |
9 × 9 = 81 | 7 × 2 = 14 |
5 × 3 = 15 | 4 × 7 = 28 |
8 × 4 = 32 | 2 × 12 = 24 |
5 × 2 = 10 | 6 × 2 = 12 |
3 × 2 = 6 | 9 × 2 = 18 |
7 × 2 = 14 | 4 × 2 = 8 |
8 × 2 = 16 | 2 × 2 = 4 |
7 × 3 = 21 | 9 × 3 = 27 |
6 × 3 = 18 | 3 × 3 = 9 |
5 × 3 = 15 | 4 × 3 = 12 |
8 × 3 = 24 | 2 × 3 = 6 |
8 × 4 = 32 | 3 × 4 = 12 |
9 × 4 = 36 | 4 × 4 = 16 |
6 × 4 = 24 | 5 × 4 = 20 |
7 × 4 = 28 | 2 × 4 = 8 |
6 × 5 = 30 | 3 × 5 = 15 |
7 × 5 = 35 | 9 × 5 = 45 |
5 × 5 = 25 | 8 × 5 = 40 |
4 × 5 = 20 | 2 × 5 = 10 |
8 × 6 = 48 | 7 × 6 = 42 |
4 × 6 = 24 | 9 × 6 = 54 |
5 × 6 = 30 | 6 × 6 = 36 |
3 × 6 = 18 | 2 × 6 = 12 |
3 × 7 = 21 | 8 × 7 = 56 |
6 × 7 = 42 | 7 × 7 = 49 |
9 × 7 = 63 | 5 × 7 = 35 |
4 × 7 = 28 | 2 × 7 = 14 |
3 × 8 = 24 | 6 × 8 = 48 |
5 × 8 = 40 | 8 × 8 = 64 |
7 × 8 = 56 | 4 × 8 = 32 |
9 × 8 = 72 | 2 × 8 = 16 |
7 × 9 = 63 | 6 × 9 = 54 |
8 × 9 = 72 | 3 × 9 = 27 |
9 × 9 = 81 | 5 × 9 = 45 |
4 × 9 = 36 | 2 × 9 = 18 |
5 × 12 = 60 | 8 × 12 = 96 |
6 × 12 = 72 | 3 × 12 = 36 |
4 × 12 = 48 | 7 × 12 = 84 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{24}{36}\) \(= \frac{2}{3}\)
Evaluate:
\( 2\frac{3}{4} − \frac{5}{6}\) \(= 1\frac{11}{12}\)
Find AC if AB = 5.7m and BC = 7m. 4.06m
Find angle ABC if AB = 4.3m and BC = 5.4m. 37.2o
Find AC if angle BCA = 32o and AB = 3.3m. 5.28m
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.
\( \frac{1}{4}\) \(= 0.25\)
Convert this decimal to a fraction.
\(0.62\) = \( \frac{31}{50}\)
Increase £180 by 30%
£234
What is the lowest common multiple of six and ten.
= 30
7,20,33,46,59...
Find the:
a) next term; 72
b) nth term; 13n - 6
c) term number 50; 644
5,15,45,135,405...
Find the:
a) next term; 1215
b) nth term; 5 × 3n-1
c) term number 11; 295245
If £160 is invested for 8 years with a simple interest rate of 5%, find the amount of interest earned. £64.00
If £140 is invested with an interest rate of 6% compounded annually, find the value of the investment after 7 years. £210.51
If £1 is worth $1.21, convert:
a) £180 to dollars; $217.80
b) $220 to pounds; £181.82
What are the coordinates of the midpoint of the line joining:
\((-4,-8) \text{ and } (8,-2)\)
(2,-5)
What is the gradient of the line joining:
\((7,3) \text{ and } (10,6)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,2),(8,8),(-3,7)\)
(2,13)
a) 12 − 24 = -12
b) 12 × (-12) = -144
c) (8−19)(10−21) = 121
d) 144 ÷ (-12) = -12
e) (-5)2 = 25
If p = 6, q = 29 and
r = -9 evaluate:
a) 2q − p = 52
b) pq + r = 165
c) p2 − 5q - r = -100
Solve:
\(5x = 10\)
\(x = 2\)
Solve:
\(3x +7= 28\)
\(x = 7\)
Solve:
\(10x +3= 6x + 27\)
\(x = 6\)
Solve:
\(5(2x +3)-8= 67\)
\(x = 6\)
Solve:
\(5(4x + 3)= 3(3x + 5)\)
\(x = 0\)
Solve:
\(5x-4y = 27\)
\(3x+4y = 29\)
\(x = 7, y = 2\)
Solve:
\(4x-4y = 4\)
\(7x+8y = 97\)
\(x = 7, y = 6\)
Solve:
\(2x-3y = -36.5\)
\(3x-2y = -36\)
\(x = -7, y = 7.5\)
Find the union of:
{6,7,8,9,10} and
{2,6,12}
{2,6,7,8,9,10,12}
Find the intersection of:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 174o. What bearing would it return on from B to A? 354o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
(14 − 6)2 + 8 × 7
120
Simplify the following by collecting like terms:
\(2y+2y^2-5y+y^2\)
\(3y^2-3y\)
Divide 143 in the ratio
4:7
52 and 91
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:
216
2 x 2 x 2 x 3 x 3 x 3
In a sale an item costs £66 after a 45% 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.
0.818181... \(\frac{9}{11}\)
Decrease £180 by 15%
£153
Expand:
\(7(5x-4)\)
\(35x-28\)
Expand:
\((x+4)(x-1)\)
\(x^2+3x-4\)
Factorise:
\(40x-48\)
\(8(5x-6)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Factorise:
\(4x^2-1\)
\((2x+1)(2x-1)\)
Which theorem?
Find the value of:
1.4 × 10-4
= 0.00014
Write in standard form:
3480000
= 3.48 × 106
Write in standard form:
0.0639
= 6.39 × 10-2
Find the nth term:
\(2, 9, 18, 29, 42, \)
\(n^2+4n-3\)
Multiply 9 × 105
by 7 × 103 and give the answer in standard form.
= 6.3 × 109
Solve:
\(x^2+2x-15= 0\)
\(x = 3\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+x-3 = 0\)
\(x = 0.847\) and \(-1.18\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(f\) the subject of the formula
$$h=g(e-f)$$
$$f=e-\frac{h}{g}$$
Calculate the value of:
636 ÷ 3
= 212
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the square of
7
49
What is the difference between the 5th and the 6th prime numbers?
13 - 11 = 2
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: 9, 0.9, 9.99, 9.9, 0.99, 9.09, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 1.08m, 1.8m, 107cm, 18mm, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 200ml, 173ml, 17cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
c = 81
c = 78
Round to one significant figure:
a) 76.03; 80
b) 442736; 400000
c) 90; 90
d) 0.00838; 0.008
Round each value to one significant figure to make an estimate:$$(162 + 3.6) \div 19$$\((200 + 4) \div 20 = 10.2\)
A pie chart shows the colours of 45 books. What sector angle represents the
9 red books?
72°
What is the equation?
\(y=x-2\)A pie chart shows the colours of 9 hats. How many green hats are represented
by a sector
angle of 240°?
6
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