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Edexcel IGCSE Mathematics A
Mathematics A: All TopicsComplete deck
01·1.1 Integers
What is an integer?
Answer
A whole number that can be positive, negative or zero; for example, −4, 0 and 9.
02·1.1 Integers
Which of −6, 0, 3.5 and 12 are integers?
Answer
−6, 0 and 12. The number 3.5 is not a whole number.
03·1.1 Integers
What is a positive integer?
Answer
An integer greater than 0, such as 1, 6 or 24.
04·1.1 Integers
What is a negative integer?
Answer
An integer less than 0, such as −1, −6 or −24.
05·1.1 Integers
Is zero positive, negative or neither?
Answer
Neither. Zero is an integer but is not positive or negative.
06·1.1 Integers
What integer is the opposite of +11?
Answer
−11. Opposite integers are equally far from zero on opposite sides of the number line.
07·1.1 Integers
What is the opposite of −15?
Answer
+15, since reversing the sign gives the opposite integer.
08·1.1 Integers
What is the integer represented by −(−9)?
Answer
- The opposite of −9 is +9.
09·1.1 Integers
Why are 7 and −7 different integers?
Answer
They lie on opposite sides of zero: 7 is positive and −7 is negative, although both are 7 units from zero.
10·1.1 Integers
List the five consecutive integers starting at −2.
Answer
−2, −1, 0, 1, 2. Consecutive integers increase by 1.
11·1.1 Integers
What integer is three units to the left of +1 on a number line?
Answer
−2. Move left by three: 1 → 0 → −1 → −2.
12·1.1 Integers
Which integers are exactly three units away from −2 on a number line?
Answer
−5 and 1, because −2 − 3 = −5 and −2 + 3 = 1.
13·1.1 Integers
What is the value of the digit 7 in 47,306?
Answer
7,000, because the 7 is in the thousands column.
14·1.1 Integers
What is the value of the digit 5 in 258,041?
Answer
50,000, because the 5 is in the ten-thousands column.
15·1.1 Integers
Write 63,205 in expanded place-value form.
Answer
60,000 + 3,000 + 200 + 5; the tens digit is 0.
16·1.1 Integers
What does the zero in 40,608 show?
Answer
There are no thousands in that place; zero holds the position so the other digits keep their correct values.
17·1.1 Integers
Write 9,000 + 600 + 20 + 4 as one integer.
Answer
9,624.
18·1.1 Integers
What is the value of the digit 3 in 5,037,291?
Answer
30,000, because it is in the ten-thousands column.
19·1.1 Integers
Write 4,080,015 in expanded form.
Answer
4,000,000 + 80,000 + 10 + 5.
20·1.1 Integers
Which digit is in the hundreds column of 2,905,061?
Answer
- From the right, units = 1, tens = 6, hundreds = 0.
21·1.1 Integers
What integer is 10 times 6,407?
Answer
64,070. Multiplication by 10 shifts each digit one place to the left.
22·1.1 Integers
What integer is 83,600 ÷ 10?
Answer
8,360. Division by 10 shifts each digit one place to the right.
23·1.1 Integers
A six-digit positive integer has 4 hundred-thousands, 2 thousands, 7 tens and 9 units; all other digits are zero. Find it.
Answer
402,079 = 400,000 + 2,000 + 70 + 9.
24·1.1 Integers
Express −305,040 using the place values of its digits.
Answer
−(300,000 + 5,000 + 40) = −305,040; the minus sign applies to the whole integer.
25·1.1 Integers
What does a temperature of −4 °C mean?
Answer
The temperature is 4 °C below 0 °C.
26·1.1 Integers
A lift is at floor −2. What does the negative sign indicate?
Answer
The floor is two levels below the reference floor 0.
27·1.1 Integers
What does an elevation of −30 m represent if sea level is 0 m?
Answer
A position 30 m below sea level.
28·1.1 Integers
What does a bank balance of −£18 mean?
Answer
The account is £18 below zero (overdrawn by £18).
29·1.1 Integers
The temperature rises from −7 °C to 2 °C. What is the increase?
Answer
9 °C, since 2 − (−7) = 9.
30·1.1 Integers
The temperature falls from 5 °C to −6 °C. What is the change?
Answer
−11 °C, since −6 − 5 = −11; it falls by 11 °C.