Algebra
Geometry
Number
Ratio
Statistics and Probability
100

Solve 3x + 5 = 20

x = 5

100

What is the formula for area of a circle?

pi x r2

100

What is the method for dividing fractions

keep, flip, change


100

There are 40 pens and 15 pencils in a pot. Write down the ratio of pens to pencils in its simplest form.

8 : 3

100

There are 5 white counters, 8 black counters and 7 grey counters in a bag. A counter is chosen at random. What is the probability that it is not white?

3/4

200

Factorise fully 12x + 20

4 (3x + 5)

200

Calculate the circumference of a circle with radius 10cm in terms of pi

20pi
200

Round 30.457 to  3 significant figures

30.5

200

Three pens cost 15p. How much do 7 pens cost?

35p

200

Find the median of 8, 12, 11, 15, 9, 10

10.5

300

Factorise x2 + 6x + 8

(x+4)(x+2)

300

What are the 3 trigonometry rules (including letters)

sin = o/h

cos = a/h

tan = o/a

300

Express 43 x 45 as a single power of 4

48

300

The ratio of red sweets to green sweets in a jar is 7:2. If there are 18 green sweets, how many red sweets are there?

63

300

The probability that a biased spinner lands on a 2 is 0.3. Jemima spins the spinner 150 times. Work out an estimate for the number of times the spinner will land on a 2.

45

400

Expand (2x + 1)(3x - 2)

6x2 - x - 2

400
Calculate the missing hypotenuse in a right angled triangle where the other sides are 12cm and 5cm.

13cm (using pythagoras)

400

Simplify rt/50

5rt/2

400

Amjit, Bella and Chris share $1250 in the ratio 6:8:11. Work out how much Chris receives.

$550

400

Three positive integers have a mean of 4 and a range of 7. Find the three numbers.

1, 3, 8

500

Complete the square x2 + 10x +12

(x + 5)2 - 13

500

What is the formula for finding surface area of a cylinder

pir2+pirl

500

A coin is weighed as 30 𝑔 to the nearest 5 𝑔. Find the upper bound of the weight of 10 coins 

325g

500

The ratio of black squares to grey squares is 7:3. The ratio of white squares to grey squares is 9:5. Find the ratio of black squares to white squares in its simplest form.

35:27
500

Five integers have a mean of 8. The integers are 7, 3, 10, 13, 𝑥. Find the value of 𝑥.

7

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