Numbers
Algebra
Ratio
Probability
100

1.0095 rounded to 2 significant figures.

What is 1.0?

100

3๐‘ฅ + 4๐‘ฆ + 2๐‘ฅ + 6๐‘ฆ + 10 

5x + 10y + 10

100

Tom wants to measure the distance of a room in his house. Which imperial unit would be most appropriate to use?  

Metres, Gallons, Feet or Litres?

Feet

100

Ben flips an unbiased coin 3 times. He states he is more likely to get heads, tails, then heads than all tails for the three flips. Is he correct? Explain your answer.

No, they are both as likely.

200

What 256 x 59 is equal to.

What is 15104

200

Expand 5โ„Ž(3โ„Ž โˆ’ 2) 

15h2 - 10h

200

Terry, Alisha and Ella run on a weekly basis. 

In total, they average 176 km a week. 

If Alisha runs twice as far as Terry and Ella runs one third of Alisha's distance, how far do each of them run?

Alisha = 96 km

Ella = 32 km

Terry = 48 km

200

There are 100 members in a local diving club. 45 of the members are male, the rest are female. 13 of the female members are under 17, the rest are 17 or over. 3 5 of the males are under 17, the rest are 17 or over. 

Use this information to create a frequency tree diagram.

Total     Male/Female     <17 or >17

                                         27

                 45

                                         18

100

                                         17

                 55

                                         38


300

The LCM of 3 and 7.

What is 21?

300

Solve the simultaneous equations below. 

6๐‘ฅ + 3๐‘ฆ = 12 

2๐‘ฅ + 6๐‘ฆ = 14

x = 1

y = 2

300

Stephanie is given a 7% pay rise. She is currently earning ยฃ24 000 a year. 

Which calculation works out her new salary?

 24000 ร— 0.07 

24000 ร— 1.07 

24000รท 1.07 

24000รท 1.07

24000 x 1.07

300

A survey of 36 pet owners was undertaken. Two thirds of people said they have a dog. 8 have a dog and a cat 10 people have only a cat And two people have no pets. Complete a Venn diagram using the information provided.

see answer


400

What the value of (6 x 103) x (9 x 104) is written in standard form.

What is 5.4 x 108.

400

Prove algebraically that the sum of two consecutive numbers is odd.

x + (x + 1) = 2x + 1. 

If 2x is even so 2x + 1 must be odd. #

400

It takes 4 people 2 days to build a wall. 

How long would it take for 2 people to build the same wall. Give your answer in days

4 days

400

In a venn diagram of A and B, shade the region that represents ๐ด โˆช B 

see answer

500

The mass of the toy is 2.2 kg to the nearest 0.1 kg. Find the error interval, in which the true mass of the toy, ๐‘š, lies.

2.15 kg <= m < 2.25 kg

500

Rearrange 2๐‘š๐‘ฅ + 10 = 3๐‘ฅ + ๐‘š to make ๐‘ฅ the subject.

x = (m - 10)/(2m - 3)

500

A painter increases his charges by 6% to ยฃ21.20 per hour. 

How much did he charge before the increase?

ยฃ20.00

500

The probability of Ben completing his Maths homework on any night is 1/3. The probability that he completes his English homework is 1/4 These are both independent events. 

Draw a tree diagram to represent this information.

see answer