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Question 1 1A Addition AQA Nov 2021 3F Q6
[2 marks]
Put the numbers 1, 2, 3, 4 and 6 into the circles so that
each line of three numbers multiplies to 12
the total of the vertical line is one more than the total of the horizontal line.
Use each number once.
Answer
Worked Solution & Answer
Common factor is 1 in the centre: vertical line = 2 × 1 × 6 = 12 with sum 2 + 1 + 6 = 9 M1
horizontal line = 3 × 1 × 4 = 12 with sum 3 + 1 + 4 = 8
Since 9 = 8 + 1, all conditions are met. A1
16234
Answer: Answer Centre: 1; Vertical: 2 and 6; Horizontal: 3 and 4
Question 2 1L BIDMAS OCR Nov 2020 3F Q3
[2 marks]
Alex has a number game.
He must put down tiles to make two calculations with the same answer.
Here is what Alex put down.
2−3×2=3−5
Is he correct?
Show how you decide.
Worked Solution & Answer
Left side: 2 − (3 × 2) = 2 − 6 = −4. M1
Right side: 3 − 5 = −2.
Since −4 ≠ −2, Alex is incorrect. C1
Answer: Alex is incorrect because 2 − 3 × 2 = 2 − 6 = −4 whereas 3 − 5 = −2.
Question 3 1G Place Value
[2 marks]
Here are four digits.
7 3 4 9
(a) Use three of these digits to write down the largest possible 3-digit number. [1 mark]
(b) Here are four different digits. [1 mark]
+
8 2 1 6
Put one of these digits in each box to give the smallest possible answer to the sum.
You must use each digit only once.
Worked Solution & Answer
(a)
9, 7, 4 gives 974 B1
Answer (a): 974
(b)
Put 1 and 2 in the tens columns: 16 + 28 = 44 (or 18 + 26 = 44) B1
1628+
Answer (b): 16 + 28 (or 18 + 26)
Question 4 1K Powers and roots AQA Nov 2023 3F Q22 / 3H Q7
[3 marks]
The first two cube numbers are 1 and 8
=++
Show that
the 3rd cube number can be written as the sum of three different prime numbers.
Worked Solution & Answer
3rd cube number = 3³ = 27. M2
27 = 3 + 5 + 19 (or 3 + 7 + 17 or 3 + 11 + 13 or 5 + 11 + 11 — must be different primes: 3 + 5 + 19, 3 + 7 + 17, or 3 + 11 + 13). C1
273519=++
Question 5 1H Rounding IGCSE Nov 2020 1F Q1
[3 marks]
The table gives information about the amount of crude oil, in barrels, produced per day by each of six countries in 2015
CountryCrude oil produced per day(number of barrels)Australia322 300Congo269 000Gabon213 300South Sudan220 000Thailand248 200Vietnam333 400
(a) Write down the name of the country that produced the least number of barrels of crude oil. [1 mark]
(b) Work out the difference between the number of barrels of crude oil produced by Vietnam and the number of barrels of crude oil produced by Australia. [1 mark]
barrels
(c) Write 248 200 correct to the nearest thousand. [1 mark]
Worked Solution & Answer
(a)
Least is 213 300 = Gabon B1
Answer (a): Gabon
(b)
333 400 − 322 300 = 11 100 B1
Answer (b): 11 100 barrels
(c)
248 200 → 248 000 B1
Answer (c): 248 000
Question 6 1J Negative numbers 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 7 1M Factors, multiples & primes OCR Nov 2023 3F Q3
[3 marks]
(a) What type of numbers are 2, 3 and 5?
Circle **one** answer from the list.
cube numbers   even numbers   odd numbers   prime numbers   square numbers
(b) (i) Arrange the five tiles to make a calculation with the answer 3.
(ii) Write down a multiple of 8 that can be made using two of the five tiles.
(a) What type of numbers are 2, 3 and 5?
Circle **one** answer from the list.
cube numbers   even numbers   odd numbers   prime numbers   square numbers
[1 mark]
(b) Arrange the five tiles to make a calculation with the answer 3. [1 mark]
2335–
= 3
(c) Write down a multiple of 8 that can be made using two of the five tiles. [1 mark]
Worked Solution & Answer
(a)
2, 3 and 5 are the first three prime numbers. B1
Answer (a): prime numbers
(b)
35 − 32 = 3. B1
Answer (b): 35 - 32 = 3
(c)
4 × 8 = 32, which uses the tiles 3 and 2. B1
Answer (c): 32
Question 8 1C Multiplication AQA Jun 2024 1F Q14
[4 marks]
Here is a multiplication table.
×61636567613721384339654087633843396940954221653965409542254355674087422143554489
Use the table to answer the following questions.
(a) Work out 3843 ÷ 63 [1 mark]
Answer
(b) Work out 6.1 × 6.7 [1 mark]
Answer
(c) Work out 63 × 66 [2 marks]
Answer
Worked Solution & Answer
(a)
From table, 61 × 63 = 3843, so 3843 ÷ 63 = 61 B1
Answer (a): Answer 61
(b)
61 × 67 = 4087 ⇒ 6.1 × 6.7 = 40.87 B1
Answer (b): Answer 40.87
(c)
63 × 66 = 63 × 65 + 63 = 4095 + 63 = 4158 M1 A1
Answer (c): Answer 4158
Question 9 1F Ordering FDP IGCSE Jan 2021 2F Q4
[5 marks]
A rectangle is made from 30 small coloured square tiles.
(a) Work out the number of red tiles. [3 marks]
(b) Put the following numbers in order of size.
Start with the smallest number.
0.76   25%   0.0766   8%   0.026
[2 marks]
Worked Solution & Answer
(a)
Yellow = 0.3 × 30 = 9. Blue = (1/3) × 30 = 10 M2
Red = 30 – (9 + 10) = 11 A1
Answer (a): 11
(b)
As decimals: 0.026, 0.0766, 0.08 (8%), 0.25 (25%), 0.76 M1 A1
Answer (b): 0.026, 0.0766, 8%, 25%, 0.76
Question 10 1B Subtraction IGCSE Jun 2022 1F Q1
[5 marks]
Nav found the following table that shows the age, in years, of each of seven cities.
CityAge (years)Cadiz3124Suzhou2534Jenin4469Istanbul2704Nanjing2516Gaziantep5669Alexandria2351
(a) Write down the name of the city with the greatest age. [1 mark]
(b) Write the number 2534 in words. [1 mark]
(c) Write the number 2351 correct to the nearest ten. [1 mark]
(d) Work out the difference between the age of Cadiz and the age of Nanjing. [1 mark]
years
(e) What is the age of Jenin in whole millenniums? [1 mark]
millenniums
Worked Solution & Answer
(a)
5669 is largest B1
Answer (a): Gaziantep
(b)
Two thousand, five hundred and thirty-four
Answer (b): Two thousand, five hundred and thirty-four
(c)
2350
Answer (c): 2350
(d)
3124 – 2516 = 608 B1
Answer (d): 608 years
(e)
4469 ÷ 1000 = 4 whole millenniums B1
Answer (e): 4 millenniums
Score: 0 / 10 (0 / 32 marks)