What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
50
1, 2, 5, 10, 25, 50.
Subtract the 5th from the 10th multiples of:
10
50
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 92.73; 92.7
b) 686203; 686000
c) 26; 26.0
d) 0.002695; 0.00270
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 16cm, a height of 11cm and a top (parallel to base) of 6cm. 121cm2
Evaluate:
\( \frac{4}{6} + \frac{9}{11}\) \(= 1\frac{16}{33}\)
Evaluate:
\( \frac{2}{3} × \frac{4}{6}\) \(= \frac{4}{9}\)
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.
\( \frac{2}{6}\) \(= 33.3\)%
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 3cm. Give your answer to three significant figures.
18.8cm
Calculate the value of:
2.9 + 6.4
= 9.3
Calculate the value of:
5.4 − 4.8
= 0.600000000000001
Calculate the value of:
5.3 × 8.5
= 45.05
Calculate the value of:
48.6 ÷ 18
= 2.7
What is the value of:
12
= 1
What is the value of:
\(25^{\frac{1}{2}}\)
\(= 5\)
Calculate the value of:
35 + 79
= 114
Calculate the value of:
83 − 25
= 58
Calculate the value of:
49 × 35
= 1715
Calculate the value of:
2112 ÷ 24
= 88
Find the value of:
30% of 160
= 48
Find the value of:
7.92 × 104
= 79200
Find the highest common factor of twenty one and twelve.
= 3
7 × 5 = 35 | 3 × 3 = 9 |
4 × 3 = 12 | 8 × 2 = 16 |
5 × 2 = 10 | 9 × 5 = 45 |
6 × 3 = 18 | 2 × 4 = 8 |
3 × 4 = 12 | 8 × 7 = 56 |
4 × 9 = 36 | 6 × 2 = 12 |
7 × 4 = 28 | 5 × 12 = 60 |
9 × 8 = 72 | 2 × 7 = 14 |
5 × 2 = 10 | 3 × 2 = 6 |
8 × 2 = 16 | 4 × 2 = 8 |
9 × 2 = 18 | 7 × 2 = 14 |
6 × 2 = 12 | 2 × 2 = 4 |
5 × 3 = 15 | 4 × 3 = 12 |
7 × 3 = 21 | 3 × 3 = 9 |
9 × 3 = 27 | 8 × 3 = 24 |
6 × 3 = 18 | 2 × 3 = 6 |
7 × 4 = 28 | 8 × 4 = 32 |
3 × 4 = 12 | 6 × 4 = 24 |
9 × 4 = 36 | 5 × 4 = 20 |
4 × 4 = 16 | 2 × 4 = 8 |
9 × 5 = 45 | 8 × 5 = 40 |
5 × 5 = 25 | 3 × 5 = 15 |
6 × 5 = 30 | 7 × 5 = 35 |
4 × 5 = 20 | 2 × 5 = 10 |
5 × 6 = 30 | 9 × 6 = 54 |
7 × 6 = 42 | 6 × 6 = 36 |
4 × 6 = 24 | 3 × 6 = 18 |
8 × 6 = 48 | 2 × 6 = 12 |
4 × 7 = 28 | 7 × 7 = 49 |
9 × 7 = 63 | 6 × 7 = 42 |
8 × 7 = 56 | 3 × 7 = 21 |
5 × 7 = 35 | 2 × 7 = 14 |
4 × 8 = 32 | 5 × 8 = 40 |
8 × 8 = 64 | 7 × 8 = 56 |
9 × 8 = 72 | 6 × 8 = 48 |
3 × 8 = 24 | 2 × 8 = 16 |
4 × 9 = 36 | 8 × 9 = 72 |
9 × 9 = 81 | 3 × 9 = 27 |
5 × 9 = 45 | 6 × 9 = 54 |
7 × 9 = 63 | 2 × 9 = 18 |
9 × 12 = 108 | 4 × 12 = 48 |
3 × 12 = 36 | 6 × 12 = 72 |
5 × 12 = 60 | 7 × 12 = 84 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{18}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{1}{2} − \frac{3}{4}\) \(= \frac{3}{4}\)
Find AB if AC = 5.7m and BC = 7.2m. 4.40m
Find angle BCA if AB = 3.8m and BC = 5.1m. 48.2o
Find BC if angle BCA = 34o and AB = 4.5m. 8.05m
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.
\( \frac{2}{7}\) \(= 0.286\)
Convert this decimal to a fraction.
\(0.52\) = \( \frac{13}{25}\)
Increase £60 by 40%
£84
What is the lowest common multiple of eight and fourteen.
= 56
4,11,18,25,32...
Find the:
a) next term; 39
b) nth term; 7n - 3
c) term number 44; 305
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 8; 384
If £140 is invested for 4 years with a simple interest rate of 4%, find the amount of interest earned. £22.40
If £160 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £255.02
If £1 is worth $1.27, convert:
a) £120 to dollars; $152.40
b) $200 to pounds; £157.48
What are the coordinates of the midpoint of the line joining:
\((7,-1) \text{ and } (13,7)\)
(10,3)
What is the gradient of the line joining:
\((2,-6) \text{ and } (6,-2)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,2),(10,5),(2,7)\)
(7,10)
a) 11 − 17 = -6
b) 11 × (-5) = -55
c) (8−16)(7−15) = 64
d) 55 ÷ (-5) = -11
e) (-5)2 = 25
If p = 6, q = 23 and
r = -6 evaluate:
a) 2q − p = 40
b) pq + r = 132
c) p2 − 5q - r = -73
Solve:
\(2x = 12\)
\(x = 6\)
Solve:
\(5x +8= 28\)
\(x = 4\)
Solve:
\(8x +5= 5x + 20\)
\(x = 5\)
Solve:
\(2(5x +3)-8= 48\)
\(x = 5\)
Solve:
\(5(5x + 4)= 3(2x + 2)\)
\(x = -0.737 \text{(to 3 sf)}\)
Solve:
\(5x-5y = -15\)
\(3x+5y = 47\)
\(x = 4, y = 7\)
Solve:
\(3x+2y = 19\)
\(5x-8y = -25\)
\(x = 3, y = 5\)
Solve:
\(3x-3y = -4.5\)
\(7x-2y = -20.5\)
\(x = -3.5, y = -2\)
Find the union of:
{2,4,6,8,10} and
{1,3,6,10,15}
{1,2,3,4,6,8,10,15}
Find the intersection of:
{6,7,8,9,10} and
{3,4,5,6,7,8}
{6,7,8}
A plane flies from point A to point B on a bearing of 196o. What bearing would it return on from B to A? 016o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
48 ÷ 8 × 12 ÷ 3
24
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 130 in the ratio
4:9
40 and 90
Draw a rough sketch of the graph of:
\(y=-2x+2\)
Gradient -2
y intercept 2
Express the following number as the product of prime numbers:
360
2 x 2 x 2 x 3 x 3 x 5
In a sale an item costs £80 after a 20% reduction. What was the original price?
£100
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.
0.888888... \(\frac{8}{9}\)
Decrease £80 by 45%
£44
Expand:
\(9(7x-8)\)
\(63x-72\)
Expand:
\((2x+3)(3x-2)\)
\(6x^2+5x-6\)
Factorise:
\(9x-21\)
\(3(3x-7)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Factorise:
\(6x^2+x-2\)
\((3x+2)(2x-1)\)
Which theorem?
Find the value of:
8.04 × 10-5
= 0.0000804
Write in standard form:
926
= 9.26 × 102
Write in standard form:
0.0902
= 9.02 × 10-2
Find the nth term:
\(1, 13, 31, 55, 85, \)
\(3n^2+3n-5\)
Multiply 7 × 103
by 5 × 105 and give the answer in standard form.
= 3.5 × 109
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-3x-5 = 0\)
\(x = 1.34\) and \(-0.744\)
What is the size of each interior angle of a regular nonagon?
140°
Make \(a\) the subject of the formula
$$b=2a-3$$
$$a=\frac{b+3}{2}$$
Calculate the value of:
2583 ÷ 3
= 861
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the square root of
121
11
What are the next three prime numbers after
19
23, 29, 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: 0.1, 1, 0.11, 1.01, 1.11, 1.1, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 17cm, 1.8m, 1.08m, 107cm, 18mm, 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,
f = 132
a = 132
Round to one significant figure:
a) 50.14; 50
b) 597785; 600000
c) 51; 50
d) 0.00374; 0.004
Round each value to one significant figure to make an estimate:$$63 + 9.5 \times 32$$\(60 + 10 \times 30 = 360\)
A pie chart shows the colours of 10 books. What sector angle represents the
2 red books?
72°
What is the equation?
\(y=2x-6\)A pie chart shows the colours of 72 hats. How many green hats are represented
by a sector
angle of 315°?
63
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