Year 9 Cambridge 1A-1E

Question 1

The EDSC school canteen made $132,000 last year.
i. The cost of all the food was $29,135.07 and the salary for the canteen staff were $85,000. What
amount of profit was made? Express your answer to 2 decimal places.
ii. If the school canteen made the same amount of money in 2021 but had a profit of $33,000, what was the percentage profit for the EDSC school canteen?

Answer 1

i= $17864.93
ii. 25%

Question 2

ii. It takes Timothy 16 minutes to line up and purchase his lunch. Lunchtime runs for 50 minutes. What percentage of lunchtime does he have left to play soccer with his friends?

Answer 2

68%

Question 3

a. Timothy is provided pocket money of $5.00 per week for completing his chores.
i. Unfortunately, he has forgotten his packed lunch that his mother carefully packed for him. He decides to buy a bacon and egg sandwich for $4.20. Find the percentage of his pocket money that he spent on his lunch. Express your answer as a whole number.

Answer 3

84%

Question 4

4/5 x 3/7 + 1/5=

Answer 4

19/35

Question 5

c. $300 is to be divided in the ratio 2 : 8. Find the value of the larger portion.

Answer 5

$240

Question 6

√225

Answer 6

√3^2x 5^2

Question 7

36/35 x 20/63

Answer 7

16/49

Question 8

The ratio of people to chairs is 5:8

If there are 45 people, how many chairs are there?

Answer 8

72 chairs

Question 9

write the decimal 0.865 as a simplified fraction

Answer 9

173/200

Question 10

n 2018, the population growth of Malawi was 41 per 1000. This means that for every 1000 people, the number of people at the end of the year would be 1041.

For a town with a population of 990, what would you expect the population to be at the end of the year?

Answer 10

1031

Question 11

write 1/5 : 6/7 as a fully simplified ratio

Answer 11

7 : 30

Question 12

4/5 ÷ (2/3 x 5/7) =

Answer 12

42/25

Question 13

evaluate 6 x (5/3 - 4/7) in it’s fully simplified form

Answer 13

46/7

Question 14

13/4 as a decimal

Answer 14

3.25

Question 15

round 7 347.0306 to five significant figures

Answer 15

7347.0

Question 16

6 rules for significant figures

Answer 16

• All non-zero numbers ARE significant
  -Zeros between two non-zero numbers ARE significant
  -leading zeros are NOT significant (eg: 0.01204 the 0.0 is not significant)
  -trailing zeros to the RIGHT of the decimal ARE significant (eg: 4.000 the zeros are significant)
• Trailing zeros WITH a decimal place at the end of a whole number ARE significant (eg: 540. (there are 3 significant figures))
  -Trailing zeros WITH NO decimal point at the end of a whole number ARE NOT significant (eg: 540 ( there are only 2 significant figures, zero is not significant))

Question 17

write the fraction 18/40 as a percentage

Answer 17

45%

Question 18

How to convert fraction to percentage

Answer 18

divide numerator by denominator and then multiply by 100

Question 19

How to convert fraction to decimal

Answer 19

divide numerator by denominator

Question 20

How to convert decimal to percentage

Answer 20

multiply by 100

Question 21

How to convert decimal to fraction

Answer 21

place the decimal number over its place value

Question 22

How to convert percentage to decimal

Answer 22

divide by 100

Question 23

A group of people work in an office.
3/25
of them walk to work.
18% of them cycle to work.
A quarter of them catch the train to work.
The rest drive to work.
What percentage of the group drive to work?

Answer 23

45%

Question 24

At Forder Hospital, 12% of the staff work part-time.
At Halle Hospital, 16 of the 160 staff work part-time.
Which hospital has the higher proportion of part-time staff?

Answer 24

Forder hospital

Question 25

Put these numbers into order, smallest to largest. 13/20 0.7 3/5 67%

Answer 25

3/5, 13/20, 67%, and 0.7.