Foundation
16 web questions
- Is $\sqrt{4}$ rational or irrational?
- Is $\sqrt{9}$ rational or irrational?
- Is $\sqrt{2}$ rational or irrational?
- Is $\pi$ rational or irrational?
- Is $0.5$ rational or irrational?
- Is $0.25$ rational or irrational?
- Is $\frac{3}{4}$ rational or irrational?
- Is $7$ rational or irrational?
- Is $\sqrt{16}$ rational or irrational?
- Is $\sqrt{5}$ rational or irrational?
- Is $2.75$ rational or irrational?
- Is $\sqrt{1}$ rational or irrational?
- Circle the irrational number: $3,\ \sqrt{3},\ \frac{1}{2}$.
- Circle the rational number: $\pi,\ \sqrt{7},\ 0.8$.
- Which is closer to $3$: $\sqrt{10}$ or $\sqrt{8}$?
- Complete: an irrational number cannot be written exactly as a fraction. True or false?
Proficient
18 web questions
- Classify $\sqrt{25}$ as rational or irrational.
- Classify $\sqrt{11}$ as rational or irrational.
- Classify $-\sqrt{3}$ as rational or irrational.
- Classify $\frac{22}{7}$ as rational or irrational.
- Classify $0.333\ldots$ as rational or irrational.
- Classify $1.414213\ldots$ as rational or irrational.
- Which is irrational: $\sqrt{36}$ or $\sqrt{6}$?
- Which is rational: $\pi$ or $\frac{7}{5}$?
- $\sqrt{12}$ is between which two whole numbers?
- $\sqrt{20}$ is between which two whole numbers?
- As written, is $3.14159$ rational or irrational?
- True or false: every terminating decimal is rational.
- True or false: every square root is irrational.
- Complete: $\sqrt{49}=\square$, so it is .
- Complete: $\sqrt{15}$ lies between $\square$ and $\square$.
- Which is greater: $\sqrt{8}$ or $2.8$?
- Which does not belong: $\sqrt{2},\ \pi,\ 0.6,\ \sqrt{7}$?
- Why is $\sqrt{10}$ irrational? Give one short reason.
Excellence
18 web questions
- A student says $\sqrt{81}$ is irrational because it has a root sign. Correct? Explain.
- A student says $0.272727\ldots$ is irrational because it goes on forever. Correct? Explain.
- A student says $\pi=\frac{22}{7}$. Correct? Explain.
- Which is greater: $\sqrt{18}$ or $4.3$? Show enough working.
- Which is smaller: $\sqrt{50}$ or $7.1$? Explain.
- Put in ascending order: $3,\ \sqrt{10},\ \pi,\ \sqrt{11}$.
- Put in descending order: $\sqrt{5},\ 2.3,\ \frac{9}{4},\ \sqrt{6}$.
- $\sqrt{30}$ lies between which consecutive integers?
- $\sqrt{70}$ lies between which consecutive integers?
- Complete: an irrational number is a terminating decimal.
- Complete: $\sqrt{\square}$ is rational when the number inside is a perfect square.
- Which does not belong: $\sqrt{9},\ \sqrt{16},\ \sqrt{18},\ \sqrt{25}$?
- Which does not belong: $0.125,\ \frac{1}{8},\ \sqrt{2},\ 2.5$?
- Is $2\pi$ rational or irrational? Give a short reason.
- Is $\sqrt{3}+1$ rational or irrational? Give a short reason.
- A square has area $12 cm^2$. Its side length is $\sqrt{12}$ cm. Between which two whole cm does it lie?
- A circle has diameter $1$ m. Is circumference $\pi$ m rational or irrational?
- Why is $1.414$ rational even though it approximates an irrational number?