What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
31
1, 31.
Subtract the 6th from the 11th multiples of:
6
30
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) 70.77; 70.8
b) 451218; 451000
c) 12; 12.0
d) 0.001295; 0.00130
Find the area of a triangle that has a base of 3cm and a height of 7cm.
10.5cm2
Find the area of a trapezium that has a base of 9cm, a height of 11cm and a top (parallel to base) of 3cm. 66cm2
Evaluate:
\( \frac{1}{2} + \frac{3}{4}\) \(= 1\frac{1}{4}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)
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.
\( \frac{4}{7}\) \(= 57.1\)%
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 2cm. Give your answer to three significant figures.
12.6cm
Calculate the value of:
3.8 + 5.6
= 9.4
Calculate the value of:
9.2 − 3.9
= 5.3
Calculate the value of:
3.6 × 6.2
= 22.32
Calculate the value of:
78.2 ÷ 17
= 4.6
What is the value of:
43
= 64
What is the value of:
\(4^{\frac{1}{2}}\)
\(= 2\)
Calculate the value of:
96 + 28
= 124
Calculate the value of:
63 − 29
= 34
Calculate the value of:
63 × 83
= 5229
Calculate the value of:
1426 ÷ 23
= 62
Find the value of:
80% of 160
= 128
Find the value of:
8.03 × 104
= 80300
Find the highest common factor of fourteen and eight.
= 2
6 × 2 = 12 | 4 × 5 = 20 |
3 × 4 = 12 | 7 × 3 = 21 |
9 × 2 = 18 | 8 × 2 = 16 |
5 × 3 = 15 | 2 × 5 = 10 |
9 × 6 = 54 | 3 × 3 = 9 |
8 × 8 = 64 | 6 × 5 = 30 |
7 × 6 = 42 | 5 × 4 = 20 |
4 × 6 = 24 | 2 × 11 = 22 |
3 × 2 = 6 | 5 × 2 = 10 |
4 × 2 = 8 | 7 × 2 = 14 |
9 × 2 = 18 | 8 × 2 = 16 |
6 × 2 = 12 | 2 × 2 = 4 |
5 × 3 = 15 | 3 × 3 = 9 |
7 × 3 = 21 | 8 × 3 = 24 |
6 × 3 = 18 | 4 × 3 = 12 |
9 × 3 = 27 | 2 × 3 = 6 |
4 × 4 = 16 | 6 × 4 = 24 |
7 × 4 = 28 | 9 × 4 = 36 |
3 × 4 = 12 | 8 × 4 = 32 |
5 × 4 = 20 | 2 × 4 = 8 |
9 × 5 = 45 | 5 × 5 = 25 |
3 × 5 = 15 | 4 × 5 = 20 |
7 × 5 = 35 | 6 × 5 = 30 |
8 × 5 = 40 | 2 × 5 = 10 |
8 × 6 = 48 | 6 × 6 = 36 |
3 × 6 = 18 | 5 × 6 = 30 |
9 × 6 = 54 | 4 × 6 = 24 |
7 × 6 = 42 | 2 × 6 = 12 |
9 × 7 = 63 | 8 × 7 = 56 |
7 × 7 = 49 | 4 × 7 = 28 |
6 × 7 = 42 | 3 × 7 = 21 |
5 × 7 = 35 | 2 × 7 = 14 |
5 × 8 = 40 | 9 × 8 = 72 |
8 × 8 = 64 | 4 × 8 = 32 |
3 × 8 = 24 | 6 × 8 = 48 |
7 × 8 = 56 | 2 × 8 = 16 |
7 × 9 = 63 | 9 × 9 = 81 |
4 × 9 = 36 | 3 × 9 = 27 |
5 × 9 = 45 | 8 × 9 = 72 |
6 × 9 = 54 | 2 × 9 = 18 |
8 × 12 = 96 | 4 × 12 = 48 |
9 × 12 = 108 | 3 × 12 = 36 |
5 × 12 = 60 | 6 × 12 = 72 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{45}{63}\) \(= \frac{5}{7}\)
Evaluate:
\( 2\frac{4}{5} − \frac{6}{7}\) \(= 1\frac{33}{35}\)
Find BC if AB = 4.1m and AC = 5.8m. 7.10m
Find angle ABC if AC = 4.6m and AB = 6.6m. 34.9o
Find BC if angle BCA = 43o and AB = 3.4m. 4.99m
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.
\( \frac{3}{5}\) \(= 0.6\)
Convert this decimal to a fraction.
\(0.23\) = \( \frac{23}{100}\)
Increase £140 by 10%
£154
What is the lowest common multiple of six and ten.
= 30
5,16,27,38,49...
Find the:
a) next term; 60
b) nth term; 11n - 6
c) term number 41; 445
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 8; 13122
If £100 is invested for 7 years with a simple interest rate of 2%, find the amount of interest earned. £14.00
If £160 is invested with an interest rate of 1% compounded annually, find the value of the investment after 8 years. £173.26
If £1 is worth $1.33, convert:
a) £200 to dollars; $266.00
b) $180 to pounds; £135.34
What are the coordinates of the midpoint of the line joining:
\((0,3) \text{ and } (8,9)\)
(4,6)
What is the gradient of the line joining:
\((-6,-2) \text{ and } (-2,3)\)
\(\frac{5}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,1),(10,6),(0,6)\)
(5,11)
a) 8 − 19 = -11
b) 8 × (-12) = -96
c) (11−19)(7−13) = 48
d) 96 ÷ (-12) = -8
e) (-5)2 = 25
If p = 6, q = 24 and
r = -10 evaluate:
a) 2q − p = 42
b) pq + r = 134
c) p2 − 5q - r = -74
Solve:
\(3x = 6\)
\(x = 2\)
Solve:
\(3x -2= 25\)
\(x = 9\)
Solve:
\(7x +2= 4x + 11\)
\(x = 3\)
Solve:
\(2(3x -5)+11= 13\)
\(x = 2\)
Solve:
\(4(4x + 5)= 3(4x + 5)\)
\(x = -1.25\)
Solve:
\(4x+5y = 31\)
\(3x+5y = 27\)
\(x = 4, y = 3\)
Solve:
\(2x-5y = -17\)
\(5x+10y = 70\)
\(x = 4, y = 5\)
Solve:
\(2x-3y = 23\)
\(3x+2y = 15\)
\(x = 7, y = -3\)
Find the union of:
{1,3,5,7,9} and
{2,6,12}
{1,2,3,5,6,7,9,12}
Find the intersection of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{3,5,7}
A plane flies from point A to point B on a bearing of 222o. What bearing would it return on from B to A? 042o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
6 + (4 × 52 − 3)
103
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 65 in the ratio
4:9
20 and 45
Draw a rough sketch of the graph of:
\(y=x\)
Gradient 1
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 £84 after a 30% reduction. What was the original price?
£120
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.767676... \(\frac{76}{99}\)
Decrease £100 by 20%
£80
Expand:
\(2(6x-2)\)
\(12x-4\)
Expand:
\((3x+2)(3x-2)\)
\(9x^2-4\)
Factorise:
\(45x-54\)
\(9(5x-6)\)
Factorise:
\(x^2-x-2\)
\((x+1)(x-2)\)
Factorise:
\(5x^2+3x-2\)
\((x+1)(5x-2)\)
Which theorem?
Find the value of:
5.51 × 10-3
= 0.00551
Write in standard form:
4020000
= 4.02 × 106
Write in standard form:
0.038
= 3.8 × 10-2
Find the nth term:
\(0, 13, 32, 57, 88, \)
\(3n^2+4n-7\)
Multiply 4 × 103
by 6 × 105 and give the answer in standard form.
= 2.4 × 109
Solve:
\(x^2+x-6= 0\)
\(x = 2\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-4x-3 = 0\)
\(x = 2.58\) and \(-0.581\)
What is the size of each interior angle of a regular pentagon?
108°
Make \(c\) the subject of the formula
$$d=\frac{3c+1}{2}$$
$$c=\frac{2d-1}{3}$$
Calculate the value of:
464 ÷ 2
= 232
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
What is the square root of
36
6
What is the 10th prime number?
29
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: 0.2, 2.02, 2.2, 0.22, 2.22, 2, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,
Write down these lengths: 17cm, 1.08m, 18mm, 1.8m, 107cm, 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,
i = 54
f = 65
Round to one significant figure:
a) 78.03; 80
b) 633742; 600000
c) 56; 60
d) 0.00669; 0.007
Round each value to one significant figure to make an estimate:$$6.5 \times 23 - 161$$\(7 \times 20 - 200 = -60\)
A pie chart shows the colours of 40 books. What sector angle represents the
31 red books?
279°
What is the equation?
\(y=x-1\)A pie chart shows the colours of 12 hats. How many green hats are represented
by a sector
angle of 120°?
4
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