- 1.
Find the value of: (a) (–5) × (18 + (–3))
- 2.
Find the value of: (b) (–7) × 4 × (–1)
- 3.
Find the value of: (c) (–2) × (–1) × (–5) × (–3)
- 4.
Find the value of: (a) (–27) ÷ 9
- 5.
Find the value of: (b) 84 ÷ (–4)
- 6.
Find the value of: (c) (–56) ÷ (–2)
- 7.
Find the integer whose product with (–1) is: (a) 27
- 8.
Find the integer whose product with (–1) is: (b) –31
- 9.
Find the integer whose product with (–1) is: (c) –1
- 10.
Find the integer whose product with (–1) is: (d) 1
- 11.
Find the integer whose product with (–1) is: (e) 0
- 12.
If 47 – 56 + 14 – 8 + 2 – 8 + 5 = –4, then find the value of –47 + 56 – 14 + 8 – 2 + 8 – 5 without calculating the full expression.
- 13.
In a test, (+4) marks are given for every correct answer and (–2) marks for every incorrect answer. (a) Anita answered all the questions. She scored 40 marks even though 15 of her answers were correct. How many of her answers were incorrect? How many questions are in the test?
- 14.
In a test, (+4) marks are given for every correct answer and (–2) marks for every incorrect answer. (b) Anil scored (–10) marks even though he had 5 correct answers. How many of his answers were incorrect? Did he leave any questions unanswered?
- 15.
Pick the pattern — find the operations done by the machine shown. The machine takes 3 inputs (a, b, c) and gives outputs: (4, 8, –3) → 28; (6, 9, 6) → –48; (2, 3, –2) → 8; (–9, 5, –8) → 31; (7, –4, –6) → –17; (–16, –6, –9) → ?
- 16.
Imagine you're in a place where the temperature drops by 5°C each hour. If the temperature is currently at 8°C, write an expression which denotes the temperature after 4 hours.
- 17.
Find 3 consecutive numbers with a product of (a) –6
- 18.
Find 3 consecutive numbers with a product of (b) 120
- 19.
An alien society uses a peculiar currency called 'pibs' with two denominations — a +13 pibs coin and a –9 pibs coin. Using the two denominations, try to get the following totals: (a) +20
- 20.
Using +13 and –9 pib coins, get a total of: (b) +40
- 21.
Using +13 and –9 pib coins, get a total of: (c) –50
- 22.
Using +13 and –9 pib coins, get a total of: (d) +8
- 23.
Using +13 and –9 pib coins, get a total of: (e) +10
- 24.
Using +13 and –9 pib coins, get a total of: (f) –2
- 25.
Using +13 and –9 pib coins, get a total of: (g) +1
- 26.
Find the value of: (a) (32 × (–18)) ÷ (–36)
- 27.
Find the value of: (b) 32 ÷ ((–36) × (–18))
- 28.
Find the value of: (c) (25 × (–12)) ÷ ((45) × (–27))
- 29.
Find the value of: (d) (280 × (–7)) ÷ ((–8) × (–35))
- 30.
Arrange the expressions given below in increasing order:- (a) (–348) + (–1064),
- (b) (–348) – (–1064),
- (c) 348 – (–1064),
- (d) (–348) × (–1064),
- (e) 348 × (–1064),
- (f) 348 × 964
- 31.
Given that (–548) × 972 = –532656, write the value of: (a) (–547) × 972
- 32.
Given that (–548) × 972 = –532656, write the value of: (b) (–548) × 971
- 33.
Given that (–548) × 972 = –532656, write the value of: (c) (–547) × 971
- 34.
Given that 207 × (–33 + 7) = –5382, write the value of –207 × (33 – 7).
- 35.
Use the numbers 3, –2, 5, –6 exactly once and the operations '+', '–', and '×' exactly once and brackets as necessary to write an expression such that (a) the result is the maximum possible.
- 36.
Use the numbers 3, –2, 5, –6 exactly once and the operations '+', '–', and '×' exactly once and brackets as necessary to write an expression such that (b) the result is the minimum possible.
