# Chapter 1: Diagnostic assessment

Calculate: 1250 + 750 =

2000

Calculate: 2700 + 270 + 27 =

2997

Calculate: (416 + 238 + 35) − (278 +254) =

157

Calculate: 276 − 123 + 45 =

198

Calculate: (56 − 23) − (34 − 21) =

20

Calculate: 276 − (123 − 45) =

198

Calculate: (789 − 57) − (650 −245) =

327

Calculate: 125 + 790 =

915

Calculate: 305 + 186 =

491

Calculate: 1240 − 750 =

490

Calculate: 250 × 1000 =

250000

Calculate: 560 × 1.25 =

700

Calculate: 49.5 ÷ 1.5 =

33

Calculate: 0.375 × 1000 =

375

Calculate: 54.86 ÷ 100 =

0.5486

Calculate: 2.65 × 1000 =

2650

Calculate: 560 × 2.25 =

1260

Calculate: 12.25 ÷ 1.75 =

7

Calculate: 2.072 × 100 =

207.2

Calculate: 68.86 ÷ 100 =

0.6886

Write this fraction in its simplest form: 15/75

1/5

Write this fraction in its simplest form: 21/168

1/8

Write this fraction in its simplest form: 99/4

24 3/4

Write this fraction in its simplest form: 30/405

2/27

Write this fraction in its simplest form: 36/128

9/32

Write this fraction in its simplest form: 625/875

5/7

Write this fraction in its simplest form: 221/1768

1/8

Write this fraction in its simplest form: 375/1000

3/8

Write this fraction in its simplest form: 64/72

8/9

Write this fraction in its simplest form: 124/868

1/7

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  3/4 ÷ 1/2

3/2

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 3/4 ×1/2

3/8

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 3/14 × 14/21

1/7

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 3/12 ÷ 6/12

1/2

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 7/42 ÷ 14/21

1/4

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 9/5 ÷ 81/20

4/9

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 4/24 ÷ 4/12

1/2

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 12/11 ÷ 36/22

2/3

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 3/16 ÷ 1/2

3/8

Solve this calculation, leaving your answer as an improper fraction in its lowest terms: 2/3 × 3/6

1/3

Express 0.25 as a fraction in its simplest form.

1/4

Express 62 1/2 % as a fraction in its simplest form.

5/8

Express 10% as a fraction in its simplest form.

1/10

Express 0.35 as a fraction in its simplest form.

7/20

Express 12.5% as a fraction in its simplest form.

1/8

Express 37 1/2% as a fraction in its simplest form.

3/8

Express 0.0010 as a fraction in its simplest form.

1/1000

Express 0.015 as a fraction in its simplest form.

3/200

Express 15% as a fraction in its simplest form.

3/20

Express 0.02 as a fraction in its simplest form.

1/50

Convert 1/8 to a decimal.

0.125

Convert 35% to a decimal.

0.35

Convert 1/25 to a decimal.

0.04

Convert 18% to a decimal.

0.18

Convert 3/100 to a decimal.

0.03

Convert 0.1% to a decimal.

0.001

Convert 58% to a decimal.

0.58

Convert 7/1000 to a decimal.

0.007

Convert 27% to a decimal.

0.27

Convert 44% to a decimal.

0.44

Find the equivalent metric measure for the following: 0.75g = ?mg

750

Find the equivalent metric measure for the following: 1 microgram = ? nanograms

1000

Find the equivalent metric measure for the following: ? litres = 2000ml

2

Find the equivalent metric measure for the following: 875g = ? kg

0.875

Find the equivalent metric measure for the following: 0.01 microgram = ? nanograms

10

Find the equivalent metric measure for the following: ? g = 1750mg

1.75

Find the equivalent metric measure for the following: ? kg = 4250g

4.25

Find the equivalent metric measure for the following: ? litres = 2050ml

2.05

Find the equivalent metric measure for the following: ? mg = 5.05g

5050

Find the equivalent metric measure for the following: 3.75 mole = ? millimoles

3750

Convert this ratio to a percentage: 1 in 5

20%

Convert this ratio to a percentage: 1:19

5%

Convert this ratio to a percentage: 1 in 100

1%

Convert this ratio to a percentage: 1 in 25

4%

Convert this ratio to a percentage: 1:49

50%

Which of the numbers 2, 3, 4, 8 are factors of 124?

2, 4

What are the prime factors of 42?

2, 3, 7

The prime factors of 35 are ...?

5, 7

What are the common prime factors of 15 and 75?

3 and 5 only

What are the common prime factors of 24 and 42?

2 and 3 only

Round 10.3456 to one decimal place.

10.3

Round 2.75 to one decimal place.

2.8

Round 200.2781 to one decimal place.

200.3

Round 1000.8491 to one decimal place.

1000.8

Round 123.41 to one decimal place.

123.4

Round 456.06 to one decimal place.

456.1

Round 2.7358 to one decimal place.

2.7

Round 0.9733 to one decimal place.

1.0

Round 0.374 to one decimal place.

0.4

Round 123.41 to one decimal place.

0.6

Write the following numbers in figures: twelve thousand two hundred and fifty-one.

12251

In a ward of 20 patients. 5 of them are under one year of age. What percentage of these patients is over one year old?

75%

What is two litres in millilitres?

2000

Mr Blunt was given water of 50ml per hour for 8 hours. How many millilitres in total did he receive?

400

Complete: 1.5 gram = ? milligram

1500

How many minutes are there in three and half hours?

210

Mrs Hall is ordered 48mg of phenobarbitone to be taken orally. Tablets in your medicine cabinet are 16mg tablets. How many tablets does Mrs Hall need?

3

Mr Hart should have a fluid intake of two litres. He has drunk the following: 275ml of tea twice, 300ml of coffee, 200ml of orange juice and 180ml of water. How much more fluid should Mr Hart take to reach the two litres required?

770

Miss Reeta Patel must have nil by mouth for 10 hours before her operation, which is scheduled for 8:30a.m. At what time must you start her nil by mouth? (Answer in 24-hour time format e.g 20:30.)

22:30

Mr Bumbler was given 150ml per hour for 6 1/3 hours. How many ml in total did he receive?

950

Calculate: 1600 + 750

2350

Calculate: 150 + 36 =

186

Calculate: 1441 – 1326 =

115

Calculate: 2750 – 527 =

2223

Calculate: 1500 + 35 – 16 =

1519

Calculate: (129 – 42 + 95) – (79 + 13) =

90

Calculate: (68 + 35) – (21 – 17) =

99

Calculate: 321 + 169 – 27 =

463

Calculate: 29 + 714 – 592 =

151

Calculate: (820 – 123) + (550 – 218) =

1029

Calculate: 279 x 1000

279,000

Calculate: 320 x 2.75 =

880

Calculate: 275 ÷ 25 =

11

Calculate: 27.5 ÷ 2.5 =

11

Calculate: 1043 ÷ 7 =

149

Calculate: 0.321 × 1000 =

321

Calculate: 0.079 × 1000 =

79

Calculate: 9.214 × 100 =

921.4

Calculate: 342.8 ÷ 10 =

34.28

Calculate: 72.98 ÷ 100 =

0.7298

Write this fraction in its simplest form: 5/20

1/4

Write this fraction in its simplest form: 50/100

1/2

Write this fraction in its simplest form: 50/150

1/3

Write this fraction in its simplest form: 49/105

7/15

Write this fraction in its simplest form: 125/450

5/18

Write this fraction in its simplest form: 34/136

1/4

Write this fraction in its simplest form: 275/1000

11/40

Write this fraction in its simplest form: 52/6

8 2/3

Write this fraction in its simplest form: 132/5

26 2/5

Write this fraction in its simplest form: 29/9

3 2/9

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  25/125 x 10/1

2

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  1/4 x 8/15

2/15

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  4/5 x 5/1

4

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  1/2 ÷ 2/3

3/4

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  6/7 x 14/60

1/15

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  13/30 ÷ 26/90

3/2 or 1 1/2

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  2/3 ÷ 6/5

5/9

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  25/125 ÷ 10/1

1/50

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  5/9 ÷ 36/15

25/108

Solve this calculation, leaving your answer as an improper fraction in its lowest terms:  3/5 x 1/5

3/25

Express 0.75 as a fraction in its simplest form.

3/4

Express 0.375 as a fraction in its simplest form.

3/8

Express 20% as a fraction in its simplest form.

1/5

Express 0.05 as a fraction in its simplest form.

1/20

Express 75% as a fraction in its simplest form.

3/4

Express 1.5% as a fraction in its simplest form.

3/200

Express 0.02 as a fraction in its simplest form.

1/50

Express 15% as a fraction in its simplest form.

3/20

Express 12% as a fraction in its simplest form.

3/25

Express 0.525 as a fraction in its simplest form.

21/40

Convert 1/5 to a decimal.

0.2

Convert 10% to a decimal.

0.1

Convert 1/8 to a decimal.

0.125

Convert 35% to a decimal.

0.35

Convert 5/10 to a decimal.

0.5

Convert 41% to a decimal.

0.41

Convert 25/100 to a decimal.

0.25

Convert 1/20 to a decimal.

0.05

Convert 9% to a decimal.

0.09

Convert 20% to a decimal.

0.2

Find the equivalent metric measure for the following: 0.75g = ?mg

750mg

Find the equivalent metric measure for the following: 10mg = ?micrograms

10 000mcg

Find the equivalent metric measure for the following: 320ml = ?litres

0.32l

Find the equivalent metric measure for the following: 725g = ?kg

0.725kg

Find the equivalent metric measure for the following: 20 microgram = ? nanogram

20 000ng

Find the equivalent metric measure for the following: ?gram = 2500mg

2.5g

Find the equivalent metric measure for the following: ?kg = 1500g

1.5kg

Find the equivalent metric measure for the following: ?litres = 2100ml

2.1l

Find the equivalent metric measure for the following: ?mg= 75g

75 000mg

Find the equivalent metric measure for the following: 1.5 mole = ?millimole

1500 millimole

Convert this ratio to a percentage: 1 in 10

10%

Convert this ratio to a percentage: 1:49

2%

Convert this ratio to a percentage: 1 in 20

5%

Convert this ratio to a percentage: 1 in 50

2%

Convert this ratio to a percentage: 1:24

4%

Which of the numbers 2, 3, 5, 7, 9 are factors of 128?

2

What are the prime factors of 65?

5 and 13

The prime factors of 15 are...?

3 and 5

What is the common prime factor of 25 and 35?

5

What is the common prime factor of 69 and 48?

3

Round the following to one decimal place: 39.1367

39.1

Round the following to one decimal place: 1.86

1.9

Round the following to one decimal place: 600.652

600.7

Round the following to one decimal place: 2000.29

2000.3

Round the following to one decimal place: 43.36

43.4

Round the following to one decimal place: 725.08

725.1

Round the following to one decimal place: 4.92

4.9

Round the following to one decimal place: 0.7216

0.7

Round the following to one decimal place: 0.1952

0.2

Round the following to one decimal place: 0.15

0.2

Write the following number in figures: two thousand, three hundred and sixty-four.

2364

How much is 20% of 600g?

120g

What is two litres in millilitres?

2000ml

In a ward of 20 patients, four of them are under two years of age. What percentage of these patients is over two years old?

80%

Complete: 25 gram = ? milligram

25 000mg

How many minutes are there in two and a quarter hours?

135 minutes

Mr Blake is ordered 20mg of phenobarbitone to be taken orally. Tablets in your medicine cabinet are 10mg tablets. How many tablets does Mr Blake need?

2 tablets

Mrs Bush should have a fluid intake of two and a half litres. She has drunk the following: 500ml of coffee twice, 250ml of tea, 200ml of orange juice and 500ml of water. How much more fluid should Mrs Bush take to reach the two and a half litres required?

550ml

Miss Rebecca Grant must have nil by mouth for 8 hours before her operation, which is scheduled for 7 a.m. At what time must you start her nil by mouth? (Answer in 24-hour time format.)

2300hrs

Mr Hume was given 50ml of water per hour for 8 hours. How many millilitres in total did he receive?

400ml