CAIE IGCSE Mathematics Core Standard Form Questions

Practise converting, comparing and calculating with numbers written as a value from one to ten multiplied by an integer power of ten.

Exam points

write ordinary values as A × 10^n with 1 ≤ A < 10 and an integer exponent
convert a standard-form value back to an ordinary number using the exponent's sign
calculate with standard-form values and normalise the final coefficient to the required range

Covered syllabus points

C1.8.1 Use the standard form A × 10n where n is a positive or negative integer C1.8.2 Convert numbers into and out of standard form.C1.8.3 Calculate with values in standard form

[Maximum number: 3]

(a)

$\quad 9.78 \times 10^{8} \quad 2.04 \times 10^{9}$

Which of these two numbers is larger?
Give a reason for your answer. is larger because

[ 1 ]

$2.04\times10^9$ , and it has the larger power of 10 oe

(b)

Calculate $1.732 \times 10^{3} \div 5.73 \times 10^{-1}$ .

Give your answer in standard form.

[ 2 ]

$3.02[2\ldots]\times10^3$ or $3.023\times10^3$
OR
$3.02[2\ldots]\times10^1$ or $3.023\times10^1$

B1 for 3020 or 3023 or $3022[\ldots]$ , or correct value but not in correct form
or 30.2 or 30.23 or $30.2[2\ldots]$ , or correct value but not in correct form
or for their value seen and correctly converted to standard form to at least 3 sf

[Maximum number: 2]

(a)

Write 587000 in standard form.

[ 1 ]

$5.87\times10^5$ cao

(b)

Calculate $4.9\times10^{-3}+8.1\times10^{-4}$ .
Give your answer in standard form.

[ 1 ]

$5.71\times10^{-3}$ cao

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Covered syllabus points

C1.8 Standard form question 1

Question (a)

Question (b)

C1.8 Standard form question 2

Question (a)

Question (b)