Converting Units
Ratio
Rates
Percents
Fractions
100

0.25 as a fraction

1/4

100

Simplify the following ratio

32:64

1:2

100

720 people ride 9 buses. How many people ride one bus?

80 people per bus

100

On the farm there are 23 horse, 12 pigs and 37 chicken. What percent of animals have 4 legs?

48.6% of the animals on the farm have 4 legs

100

In a town in Cornwall, it rained for 18 days during April. What fraction of the month did it rain?

18/30 or 3/5

200

60% as a decimal

0.6

200

Duncan has 36 horses, 24 ducks and 21 piggies. Write this as a simplified ratio. 

12:8:7

200

You can get 12 chocolate eggs for 66kr. Or you could get 8 mini chocolate bunnies for 42kr. Which is the better deal? 

The 8 mini chocolate bunnies is the better deal.

200

Decrease 712kg by 24%.

Round to the nearest whole kg

541kg

200

Increase 800 cookies by ¼

1000 cookies

300
135% as a fraction

1 7/20

300

If there are 126 animal on the ranch. The ratio of cows to goats to cats is 3:2:2. Many cats and goats are there?

72 cats and goats

300

A cyclist travels 45 Swedish miles in 5 hours. How far could the cyclist travel in 3 hours? Answer in Km.

270 km

300

Jessica buys her first car, second hand. The normal costs of the car is 18750kr. She received a 8% discount and will pay in 30 equal monthly instalments (payments) How much is each monthly instalments?

575kr each month

300

Sarah normally earns 6000kr each month. In December she is given a bonus of ⅕ of her normal pay. How much will she get in December?

7200kr

400

Put the following in order from smallest to greatest

3/5       0.55       57%

0,55    57%    3/5

400

Miss Clampitt asked the year 6 class what their favourite school lunches are. The students voted. The ratio of students who voted for Taco to Lasagna is 9:5. If there are 36 more votes for Taco than Lasagna. How many students voted for Taco?

81 student voted for Taco's

400

Mr Scarlett jogs 12 km in 1 hour and 12 minutes.  If he keeps the same pace. How far could he jog in 2 hours?

20km 

400

Barren earns 23000kr a month. He spends 30% of this money on rent and 12% on bills. How much of the 23000kr does Barren have left?

Barren has 13340kr left.

400

Benjamin is starting a new training program. Each month he increases the distance he runs by 3/10. In month 1 he ran 20 miles. (a) How far does Benjamin run in month 3?

In month 3 he will run 33.8 miles.

500

0.07% as a decimal

0,0007

500

The sizes of the interior angles of a triangle are in the    ratio 1:3:8. Calculate the difference in size between the largest and smallest angles.

105°

500

Jessica went to Turkey, and really liked Turkish delight.  She wanted to get as much as she could before she left. She went to the store, near the hotel. It cost 35kr for 120g. If she has 105kr left. How much Turkish delight can she get, in hg.

3,6hg of Turkish delight. 

500

Aidan sits an exam with three sections.

Section 1 is worth 40 marks and he scored 80% Section 2 is worth 80 marks and he scored 76.25% Section 3 is worth 180 marks.

To pass the exam, students need to score at least 75% of the total marks.

Work out the minimum number of marks Aidan needs in Section 3 to pass.

Aidan need to pass 132 questions on section 3

500

No calculators


1/3       2/5       2/6       3/12       5/15

Some of the fractions below are equivalent. Identify the equivalent fractions.


1/3,  2/6, and 5/15