Free Printable ILEARN review

1.

David is building a ramp for his skateboard. The ramp forms a right triangle with the ground, with one leg of the triangle being 3 cm and the other leg being 4 cm. What is the length of the hypotenuse of the ramp?

a)

5 cm

b)

6 cm

c)

7 cm

d)

8 cm

2.

Rohan is trying to measure the diagonal of a square field using a rope. He knows the side of the square is 1 unit. Which of the following numbers represents the length of the diagonal of the square field?

a)

$\frac{1}{2}$

b)

0.75

c)

$\sqrt{2}$

d)

1.333...

3.

Liam has a ribbon that is 0.666... meters long. Convert the length of the ribbon into a fraction.

a)

$\frac{1}{3}$

b)

$\frac{2}{3}$

c)

$\frac{3}{4}$

d)

$\frac{1}{2}$

4.

Benjamin is designing a cylindrical water tank for his garden. The tank has a radius of 3 cm and a height of 5 cm. What is the volume of the tank in terms of $\pi$ ?

a)

$15\pi \, \text{cm}^3$

b)

$30\pi \, \text{cm}^3$

c)

$45\pi \, \text{cm}^3$

d)

$60\pi \, \text{cm}^3$

5.

Grace is measuring the thickness of a thin sheet of paper. She finds that the thickness is 0.00045 meters. What is the scientific notation for this thickness?

a)

$4.5 \times 10^{-3}$

b)

$4.5 \times 10^{-4}$

c)

$4.5 \times 10^{-5}$

d)

$4.5 \times 10^{-6}$

6.

Daniel is tracking his daily exercise time and the calories he burns. A scatter plot shows a positive linear association between the time he exercises and the calories burned. Which of the following best describes this pattern?

a)

As Daniel exercises more, he burns fewer calories.

b)

As Daniel exercises more, he burns more calories.

c)

There is no relationship between exercise time and calories burned.

d)

The calories burned are inversely proportional to exercise time.

7.

Aria is building a ramp for her skateboard. The ramp forms a right triangle with the ground. The hypotenuse of the ramp is 10 cm long, and one leg of the triangle is 6 cm long. What is the length of the other leg of the ramp?

a)

8 cm

b)

7 cm

c)

9 cm

d)

5 cm

8.

Which of the following is a rational number?

a)

$\pi$

b)

$\sqrt{3}$

c)

0.25

d)

$e$

9.

Olivia is trying to convert the repeating decimal 0.8181... into a fraction for her math homework. Can you help her find the correct fraction?

a)

$\frac{8}{9}$

b)

$\frac{81}{99}$

c)

$\frac{9}{11}$

d)

$\frac{81}{100}$

10.

Abigail is making a birthday hat in the shape of a cone. What is the volume of the hat if it has a radius of 4 cm and a height of 9 cm in terms of $\pi$ ?

a)

$48\pi \, \text{cm}^3$

b)

$72\pi \, \text{cm}^3$

c)

$96\pi \, \text{cm}^3$

d)

$120\pi \, \text{cm}^3$

11.

What is the scientific notation for 5,600,000?

a)

$5.6 \times 10^{5}$

b)

$5.6 \times 10^{6}$

c)

$5.6 \times 10^{7}$

d)

$5.6 \times 10^{8}$

12.

Elijah is tracking the amount of time he spends studying and his stress levels. A scatter plot shows a negative linear association between these two variables. Which of the following best describes this pattern?

a)

As one variable increases, the other increases.

b)

As one variable increases, the other decreases.

c)

There is no relationship between the variables.

d)

The variables are directly proportional.

13.

Ava is building a ramp for her skateboard. The ramp needs to have a right-angled triangular shape with legs of lengths 5 cm and 12 cm. What is the length of the hypotenuse?

a)

12 cm

b)

13 cm

c)

14 cm

d)

15 cm

14.

Which of the following numbers is irrational?

a)

$\frac{3}{4}$

b)

0.5

c)

$\sqrt{5}$

d)

1.25

15.

Noah is trying to convert the repeating decimal 0.7272... into a fraction for his math homework. Can you help him find the correct fraction?

a)

$\frac{72}{99}$

b)

$\frac{8}{11}$

c)

$\frac{7}{9}$

d)

$\frac{72}{100}$

16.

Luna is making a spherical chocolate cake with a radius of 6 cm. What is the volume of the cake in terms of $\pi$ ?

a)

$288\pi \, \text{cm}^3$

b)

$216\pi \, \text{cm}^3$

c)

$432\pi \, \text{cm}^3$

d)

$144\pi \, \text{cm}^3$

17.

Noah is measuring the thickness of a very thin sheet of paper. He finds that the thickness is 0.0000072 meters. What is the scientific notation for this thickness?

a)

$7.2 \times 10^{-5}$

b)

$7.2 \times 10^{-6}$

c)

$7.2 \times 10^{-7}$

d)

$7.2 \times 10^{-8}$

18.

Ethan is analyzing the performance of his classmates in a math test. He creates a scatter plot that shows a cluster of points around the origin. Which of the following best describes this pattern?

a)

Positive association

b)

Negative association

c)

Clustering

d)

Outliers

19.

Benjamin is building a ramp for his skateboard. The ramp forms a right triangle with the ground. The hypotenuse of the ramp is 13 cm long, and one leg of the triangle is 5 cm long. What is the length of the other leg?

a)

12 cm

b)

10 cm

c)

11 cm

d)

9 cm

20.

Michael is baking a cake and needs to measure ingredients precisely. Which of the following measurements is a rational number?

a)

$\sqrt{7}$

b)

$\pi$

c)

0.333...

d)

$e$

21.

Grace is designing a repeating pattern for a wallpaper. The pattern repeats every 0.4545... meters. Convert this repeating decimal into a fraction to help her with the design measurements.

a)

$\frac{45}{99}$

b)

$\frac{5}{11}$

c)

$\frac{4}{9}$

d)

$\frac{45}{100}$

22.

Emma is designing a cylindrical vase with a radius of 2 cm and a height of 7 cm. What is the volume of the vase in terms of $\pi$ ?

a)

$28\pi \, \text{cm}^3$

b)

$56\pi \, \text{cm}^3$

c)

$14\pi \, \text{cm}^3$

d)

$44\pi \, \text{cm}^3$

23.

Olivia is studying the distance between stars in her astronomy class. She notes that a particular star is 9,300,000 kilometers away from Earth. What is the scientific notation for this distance?

a)

$9.3 \times 10^{5}$

b)

$9.3 \times 10^{6}$

c)

$9.3 \times 10^{7}$

d)

$9.3 \times 10^{8}$

24.

Zoe is analyzing the performance of her classmates in a math test using a scatter plot. She notices a point far away from the rest of the data. Which of the following best describes this point?

a)

Positive association

b)

Negative association

c)

Clustering

d)

Outlier

25.

Daniel is building a ramp for his skateboard. The ramp forms a right triangle with the ground, with one leg of the triangle being 8 cm tall and the other leg being 15 cm long. What is the length of the hypotenuse of the ramp?

a)

17 cm

b)

18 cm

c)

19 cm

d)

20 cm

26.

Which of the following numbers is irrational?

a)

$\frac{5}{6}$

b)

0.2

c)

$\sqrt{10}$

d)

1.5

27.

Mia is designing a repeating pattern for a wallpaper. She notices that the pattern repeats every 0.3838... inches. Help Mia convert this repeating decimal into a fraction.

a)

$\frac{38}{99}$

b)

$\frac{4}{11}$

c)

$\frac{3}{9}$

d)

$\frac{38}{100}$

28.

Ava is making a birthday hat in the shape of a cone. She wants the hat to have a radius of 5 cm and a height of 12 cm. What is the volume of the hat in terms of $\pi$ ?

a)

$100\pi \, \text{cm}^3$

b)

$150\pi \, \text{cm}^3$

c)

$200\pi \, \text{cm}^3$

d)

$300\pi \, \text{cm}^3$

29.

Luna is measuring the thickness of a thin sheet of paper. She finds that the thickness is 0.00056 meters. What is the scientific notation for this measurement?

a)

$5.6 \times 10^{-3}$

b)

$5.6 \times 10^{-4}$

c)

$5.6 \times 10^{-5}$

d)

$5.6 \times 10^{-6}$

30.

Henry is analyzing the relationship between the amount of fertilizer used and the growth of plants in his garden. A scatter plot shows a nonlinear association between these two variables. Which of the following best describes this pattern?

a)

Positive linear association

b)

Negative linear association

c)

Nonlinear association

d)

No association

31.

Aria is making a spherical chocolate ball with a radius of 3 cm. What is the volume of the chocolate ball in terms of $\pi$ ?

a)

$36\pi \, \text{cm}^3$

b)

$27\pi \, \text{cm}^3$

c)

$18\pi \, \text{cm}^3$

d)

$12\pi \, \text{cm}^3$

32.

Evelyn is cutting a cake into equal slices. She notices that each slice is 0.6666... of the original cake. What fraction of the cake is each slice?

a)

$\frac{4}{7}$

b)

$\frac{3}{5}$

c)

$\frac{5}{9}$

d)

$\frac{2}{3}$

33.

Aiden is building a ramp for his skateboard. The ramp forms a right triangle with the ground, where the hypotenuse is 17 cm long and one of the legs is 8 cm long. What is the length of the other leg?

a)

10 cm

b)

9 cm

c)

12 cm

d)

15 cm

ILEARN review

Total questions: 33

Worksheet time: 6hrs 30mins

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