Number
Algebra
Geometry
Surds
Statistics
100

Daisy mixes 50ml of orange juice with 200ml of water.

Write down the ratio of water to orange juice.

Give your answer in its simplest form

4:1

100

Expand & simplify

2(x + 3) + 5(x - 3)

7x - 9

100

Fill in the blank for the circle theorem: 

"The angle at the ________ is half the angle at the _______"

The angle at the circumference is half the angle at the centre 

100

Simplify √20

2√5

100

In a bag of counters, the probability of picking a white counter is 0.2. What is the probability of not picking a white counter?

0.8

200

Write 50cm as a fraction of 2m

Give your answer in its simplest form

1/4

200

Solve 

3x − 3y = 9

2x + y = 12

x = 5

y = 2

200

What two things do you need to plot a frequency polygon?

Midpoint and frequency

200

Work out (√7)² - in its simplest form

7

200

Find the median from the list of numbers 

6, 2, 8, 1, 7, 9

6.5

300
Write 1.8% as a fraction, in its simplest form

9 / 500

300

Write down the quadratic formula

(-b ± √b- 4ac)/2a

300

Find the area of a trapezium where a=2cm, b=4cm and h=10cm. Include units.

30cm2

300

Simplify 15√32

60√2

300

What information do you need to draw a box plot?

Minimum, maximum, lower quartile, upper quartile, median

400

Write the reciprocal of -2/7 as a decimal

-3.5

400
Complete the square of x2 + 8x + 6

(x + 4)2 - 10

400

When y = f(x) the point A is (4, 6)

What is A when y = (x + 4) + 3

(0, 9)

400

The base of a right-angled triangle is √30, the height is √12

Find the hypotenuse of the triangle.

√42

400

Speed: 40 < s < 55

Frequency: 6

Work out the frequency density

0.4

500

Evaluate 64-2/3

1/16

500

Solve 

4x² + 12x − 7 = 0 

x = -3½ and x = ½

500

Draw the three types of graphs on your whiteboards:

1) Straight line graph, 2) Quadratic graph, 3) Reciprocal graph

Answer on board.

500

Rationalise 4 / 1 + √5

-1 + √5

500

Beth catches a sample of 80 frogs, marks them and puts them back in the lake. Later that day, in a second sample of 80 frogs, she finds that 10 of them are marked. Work out an estimate for the number of frogs in the lake.

640

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