Estimation

Using numbers rounded to one significant figure, estimate the value of $\dfrac{29.3^2}{2.04 \times 0.874}$.

May/June 2015

Use rounding to $1$ significant figure to estimate $\frac{29.2 \times 8.17}{0.396}$.

May/June 2016

By replacing each number with its value to a single significant figure, estimate $\dfrac{71.8-32.4}{0.198^2}$.

May/June 2019

Using each number rounded correctly to one significant figure, estimate the value of $\frac{362.4 - 187.2}{52.3}$.

May/June 2021

Using each number rounded to $1$ significant figure, estimate the value of $\dfrac{18.2^3}{0.395}$.

May/June 2023

Using each number correct to one significant figure, estimate the value of $\dfrac{2.87 \times \sqrt{396.5}}{1.92^2}$.

May/June 2024

Estimate the value of $\dfrac{5.32 + 3.97}{\sqrt{878}}$ by first rewriting each number correct to $1$ significant figure.

May/June 2024

The diagram represents a rectangle measuring $87.1\text{ mm}$ by $23.6\text{ mm}. $

May/June 2025

Asif is creating a rectangular lawn that measures $14\,\text{m}$ by $19\,\text{m}$. He uses grass seed to establish the lawn. The grass seed costs $\$0.34$ for each $1\,\text{m}^2$.

May/June 2025

Using suitable approximations, estimate the value of $\dfrac{\sqrt{3.98} \times 602.3}{2.987}$. Make clear the approximations you choose.

Oct/Nov 2016

Use numbers rounded correctly to $1$ significant figure to calculate an estimate for the value of $\frac{987.65}{0.0193}$.

Oct/Nov 2017

Using appropriate approximations, calculate an estimate of $\frac{40.32 \times \sqrt{35.7}}{2980}$. Make the approximations you choose clear and give your answer to $1$ significant figure.

Oct/Nov 2017

Obtain an estimate for the value of $\frac{614.2 \times 0.0304}{19.88}$ by first writing each number correct to $1$ significant figure.

Oct/Nov 2018

Use each number correct to 1 significant figure to estimate the value of $\dfrac{59.843^2}{20.13 \times 0.9024}$.

Oct/Nov 2019

Use each number rounded to $1$ significant figure to estimate $\dfrac{39.864 \times \sqrt{8.987}}{0.6013}$.

Oct/Nov 2019

Estimate the value of $\dfrac{6.044^2}{212 \times 0.304}$ after rounding each number to $1$ significant figure.

Oct/Nov 2020

Using each number rounded to $1$ significant figure, estimate the value of $\dfrac{8230 \times 0.64}{18.7}$.

Oct/Nov 2021

Estimate the value of $\dfrac{47.5 + 36.1}{64.9 \div 17.7}$ by first converting each number to $1$ significant figure.

Oct/Nov 2022

Using each number rounded to $1$ significant figure, estimate the value of $\sqrt{\dfrac{1240 \times 3.8}{11.2}}$.

Oct/Nov 2023

Using numbers rounded correctly to $1$ significant figure, calculate an estimate of $\dfrac{3.1 \times 26.7}{6.9 - 2.3}$.

Oct/Nov 2024

By expressing each number correct to 1 significant figure, calculate an estimate for the value of $\frac{\sqrt{102.5}\times 8.7}{27}$.

Oct/Nov 2025