Yr10 summer

Question 1

Write 90 as a product of its prime factors.

Answer 1

90 = 2 x 3 x 3 x 5

Question 2

Calculate 1/3 + 3/5

Answer 2

5/15 + 9/15 = 14/15

Question 3

Simplify √8. Give your answer in surd form.

Answer 3

2√2

Question 4

Write 365000 in standard form.

Answer 4

3.65 × 105

Question 5

Write down the error interval for y, where y is 4.3 rounded to 1 d.p.

Answer 5

4.25 ≤ y < 4.35

Question 6

Find 45% of 200.

Answer 6

200 ÷ 100 × 45 = 90

Question 7

Share £300 into the ratio 3 : 7.

Answer 7

300 ÷ 10 = 30; 30 x 3 = 90; 30 x 7 = 210. 90 and 210

Question 8

Solve 5x + 7 = 52

Answer 8

52 – 7 ÷ 5 = 9. x = 9

Question 9

Simplify x2 × x5. Write your answer in index form.

Answer 9

x*7

Question 10

Expand (x + 3)(x − 4)

Answer 10

x*2 - x - 12

Question 11

Factorise 4g + 12g*2

Answer 11

4g(1 + 3g)

Question 12

Rearrange this equation to make x the subject: 2x + 3y = z

Answer 12

x = z - 3y / 2

Question 13

What is the nth term rule of the sequence 3, 5, 7, 9, …?

Answer 13

2n + 1

Question 14

A line has the equation y = 4x − 9. What is the gradient of the line?

Answer 14

Gradient = 4

Question 15

State Pythagoras’ Theorem

Answer 15

a2 + b2 = c*2

Question 16

State the three trigonometric ratios:

Answer 16

o a o
s h c h t a

Question 17

What is the formula for the area of a triangle?

Answer 17

Area = ½ x base x height

Question 18

What is the formula for the area of a trapezium?

Answer 18

Area = ½ x (a + b) x height
(a and b are the parallel sides)

Question 19

What is the formula for the volume of a cuboid?

Answer 19

Volume = length x width x depth

Question 20

What is the formula for the circumference of a circle?

Answer 20

C = (pie)d (d = diameter)

Question 21

What is the formula for the area of a circle?

Answer 21

Area = (pie)r*2 (r = radius)

Question 22

When describing a rotation, what are the three pieces of information you must give?

Answer 22

Centre of rotation, angle, direction (clockwise or anti-clockwise)

Question 23

Which types of parallel line angles have two angles that are equal to each other?

Answer 23

Alternate and Corresponding

Question 24

The sum of the exterior angles of any polygon add to how many degrees?

Answer 24

360`

Question 25

What is the formula for the sum of the interior angles of a polygon?

Answer 25

180 x (n – 2)

Question 26

What is the mean average of these numbers: 1, 3, 4, 7, 10

Answer 26

(1+3+4+7+10) ÷ 5 = 5

Question 27

What is the probability of rolling a 4 on a fair die?

Answer 27

1 / 6

Question 28

A line of best fit is drawn on what type of graph?

Answer 28

Scatter Graph

Question 29

What two words do you use to describe correlation on a graph?

Answer 29

Positive / Negative

Question 30

4 exam questions to answer