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Negative numbers Quiz

Grade 1 • 1J • 10 Questions (27 Marks)

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Negative numbers — Notes & Worked Examples Show / Hide

Explanation:

When adding or subtracting negative numbers, picture a vertical thermometer or number line: adding a positive number moves up (right), while subtracting a positive number moves down (left). If two signs sit right next to each other, combine them first: same signs make a plus (+ + or − − → +) and different signs make a minus (+ − or − + → −).

When multiplying or dividing two numbers, calculate the size first, then apply the sign rule: same signs give a positive answer, and different signs give a negative answer.

Example 1: Work out: (a) −6 + 9  (b) 4 − (−7)  (c) −3 + (−8)

+ 9 (across 0) -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
(a) Start at −6 and move right 9 across zero → 3
(b) Two minuses make a plus: 4 − (−7) = 4 + 7 = 11
(c) Plus & minus make a minus: −3 − 8 = −11

Example 2: Work out:
(a) (−6) × 4   (b) (−35) ÷ (−7)   (c) (−5)2

Solution:

(a) Different signs (− and +) give negative: 6 × 4 = −24
(b) Same signs (− and −) give positive: 35 ÷ 7 = 5
(c) Squaring multiplies a number by itself:
• (−5)2 = (−5) × (−5) = 25
Answers: (a) −24   (b) 5   (c) 25
Question 1
[1 mark]
Here are some temperatures in °C.
–3 5 –6 7 2
Write the temperatures in order.
Start with the lowest temperature.
Worked Solution & Answer
Order from coldest to warmest: –6, –3, 2, 5, 7. B1
Answer: –6, –3, 2, 5, 7
Question Paper (PDF) • Mark Scheme (PDF)
Question 2 AQA Nov 2023 2F Q2
[1 mark]
The temperature was –11°C and increases by 5°C
Work out the new temperature.
Answer °C
Worked Solution & Answer
-11 + 5 = -6°C B1
Answer: Answer -6 °C
Question Paper (PDF) • Mark Scheme (PDF)
Question 3
[2 marks]
In Norway last year, the lowest temperature was –15 °C.
In Norway last year, the highest temperature was 42 °C greater than the lowest temperature.
Work out the highest temperature in Norway last year.
°C
Worked Solution & Answer
–15 + 42 = 27 °C M1 A1
Answer: 27 °C
Question Paper (PDF) • Mark Scheme (PDF)
Question 4
[2 marks]
Rachel records the temperature in her garden at noon each day.
On Monday, the temperature was 5 °C.
On Tuesday, the temperature was 10° less than the temperature on Monday.
On Wednesday, the temperature was 3° greater than the temperature on Tuesday.
Find the difference between the temperature on Monday and the temperature on Wednesday.
You must show all your working.
°C
Worked Solution & Answer
Tuesday = 5 – 10 = –5 °C M1
Wednesday = –5 + 3 = –2 °C
Difference = 5 – (–2) = 7 °C A1
Answer: 7 °C
Question Paper (PDF) • Mark Scheme (PDF)
Question 5 IGCSE Nov 2024 1F Q4
[3 marks]
The table shows information about the temperatures at different heights above sea level.
Height above sea level(metres)Temperature(°C)14 000−6012 000−589000−507000−406000−324000−172000−1012
(a) Work out the difference in temperature between a height of 0 m and a height of 12 000 m [1 mark]
°C
(b) Work out the difference in temperature between a height of 4000 m and a height of 6000 m [1 mark]
°C
(c) At what height is the temperature 10°C warmer than the temperature at a height of 9000 m? [1 mark]
m
Worked Solution & Answer
(a)
12 − (−58) = 70 B1
Answer (a): 70 °C
(b)
−17 − (−32) = 15 B1
Answer (b): 15 °C
(c)
−50 + 10 = −40°C, which is at 7000 m B1
Answer (c): 7000 m
Question Paper (PDF) • Mark Scheme (PDF)
Question 6 IGCSE Jun 2019 1FR Q5
[3 marks]
The table shows the temperature in each of five Canadian cities one day in January.
CityTemperatureVancouver6 °CEdmonton–8 °CYellowknife–23 °CQuebec–20 °COttawa–5 °C
(a) Work out the difference between the temperature in Vancouver and the temperature in Edmonton. [1 mark]
°C
(b) How much lower? [1 mark]
°C
(c) Work out the temperature in Winnipeg. [1 mark]
°C
Worked Solution & Answer
(a)
6 – (–8) = 14 °C B1
Answer (a): 14 °C
(b)
5 – (–23) = 18 °C B1
Answer (b): 18 °C
(c)
20 + 8 = –12 °C B1
Answer (c): –12 °C
Question Paper (PDF) • Mark Scheme (PDF)
Question 7 IGCSE Jan 2022 2F Q4
[3 marks]
The table below shows the maximum recorded temperature and the minimum recorded temperature on one day in each of four countries.
CountryMaximum recordedtemperatureMinimum recordedtemperatureMorocco19 °C11 °CQatar21 °C18 °CFinland−19 °C−28 °CCanada8 °C−40 °C
(a) Which country has the highest maximum recorded temperature? [1 mark]
(b) Work out the difference between the maximum recorded temperature in Finland and the minimum recorded temperature in Finland. [1 mark]
°C
(c) Work out the minimum recorded temperature in Japan. [1 mark]
°C
Worked Solution & Answer
(a)
21 °C is highest ⇒ Qatar B1
Answer (a): Qatar
(b)
19 – (–28) = 9 °C B1
Answer (b): 9 °C
(c)
11 – 15 = –4 °C B1
Answer (c): -4 °C
Question Paper (PDF) • Mark Scheme (PDF)
Question 8 IGCSE Nov 2021 1F Q4
[4 marks]
The table shows the temperatures recorded at midnight and at midday for each of five North American cities on a Monday one week.
CityMidnight temperature ( °C )Midday temperature ( °C )Boston–214Houston1120Chicago–87Detroit–7–1New York012
(a) Which city had the lowest midnight temperature? [1 mark]
(b) Find the difference between the midnight temperature and midday temperature for Boston. [1 mark]
°C
(c) Work out the midday temperature in Detroit on Thursday. [2 marks]
°C
Worked Solution & Answer
(a)
8°C is Chicago B1
Answer (a): Chicago
(b)
14 – (–2) = 16°C B1
Answer (b): 16 °C
(c)
1 + 3 × 2 = 5°C M1 A1
Answer (c): 5 °C
Question Paper (PDF) • Mark Scheme (PDF)
Question 9 IGCSE Jan 2019 2FR Q5
[4 marks]
The table gives the midnight temperatures on 1st January for five cities in the USA.
CityMidnight temperatureBoston–5 °CPhiladelphia–4 °COrlando10 °CChicago–6 °CPhoenix8 °C
(a) Here are the five temperatures.
-5   -4   10   -6   8
Write these numbers in order of size.
Start with the smallest number. [1 mark]
(b) Work out the difference between the midnight temperature in Orlando and the midnight temperature in Boston. [1 mark]
°C
(c) Work out the temperature that is exactly halfway between 8 °C and −6 °C. [1 mark]
°C
(d) On 1st January the midnight temperature in Minneapolis was 10 °C lower than the midnight temperature in Philadelphia.
Work out the midnight temperature in Minneapolis. [1 mark]
°C
Worked Solution & Answer
(a)
−6, −5, −4, 8, 10
Answer (a): −6, −5, −4, 8, 10
(b)
15
Answer (b): 15 °C
(c)
1
Answer (c): 1 °C
(d)
−14
Answer (d): −14 °C
Question Paper (PDF) • Mark Scheme (PDF)
Question 10 IGCSE Jun 2024 1FR Q5
[4 marks]
The table gives the average January temperatures for five cities.
CityTemperatureYinchuan−8°CMumbai24°CTallinn−3°CValencia12°CSaskatoon−14°C
(a) Write these numbers in order of size.
Start with the smallest number. [1 mark]
(b) Work out the difference between the January temperature in Yinchuan and the January temperature in Valencia. [1 mark]
°C
(c) Work out the January temperature in Winnipeg. [1 mark]
°C
(d) Work out the January temperature in Austin. [1 mark]
°C
Worked Solution & Answer
(a)
−14, −8, −3, 12, 24
Answer (a): −14, −8, −3, 12, 24
(b)
12 − (−8) = 20°C B1
Answer (b): 20 °C
(c)
−3 − 13 = −16°C B1
Answer (c): −16 °C
(d)
−14 + 25 = 11°C B1
Answer (d): 11 °C
Question Paper (PDF) • Mark Scheme (PDF)
Score: 0 / 10 (0 / 27 marks)
Negative numbers Worksheets Next: Powers and roots →

Grade 1 Quizzes

16 Topics
1A - Addition1B - Subtraction
1C - Multiplication1D - Division
1E - Time1F - Ordering FDP
1G - Place Value1H - Rounding
1J - Negative numbers1K - Powers and roots
1L - BIDMAS1M - Factors, multiples and primes
1N - Coordinates1P - Pictograms
1Q - 2D shapes1R - 3D shapes