1.9 Chapter Test
Textbook
7 Math Nelson
Chapter
Chapter 1
Section
1.9
Solutions 18 Videos

When Katya factored 288. she listed these factors: 1, 2, 3, 6, 8, 9, 12, 16, 18 32, 36, 48, 72. 96, and 288.

Use a factor rainbow to decide which three factors she missed.

Q1

Determine all the common factors and two common multiples of 12 and 56. Show your work.

Q2

Anthony plans to ride 175 km on his bike. and Samantha plans to ride 250 km'. They both plan to complete their journeys in a whole number of days.

a) How many kilometres could each person travel if they both ride the same number of kilometres each day?

b) How many days will each person have to ride for each common factor you found in part (a)? Explain.

Q3

Asha plans to place vacation photos of her friends on a square bulletin board measuring 72 units by 72 units.

a) Which size of photo can be placed without any spaces or overlapping? Show your work.

b) How many photos of that size can be placed on the bulletin board? Sketch your answer if this helps you think about the problem.

Q4

a) Which of these numbers are perfect squares? Why?

i) 1 ii) 24 iii) 225 iv) 500

b) Use the factor rainbow to determine if 289 is a perfect square. Explain your reasoning.

Q5

a) Write a power to represent three 4s multiplied together.

b) Calculate the power.

c) Explain how to use your answer to part b) to calculate 4^4.

Q6

The number 6^{12} is equal to 2 176 782 336. Explain how to use this answer to calculate each power.

6^{13}

Q7a

The number 6^{12} is equal to 2 176 782 336. Explain how to use this answer to calculate each power.

6^{11}

Q7b

If 8 is a factor of a number, explain why 2 and 4 must also be factors of the number.

Q8a

Explain why 8 is a factor of 8^{10}.

Q8b

Use mental math to calculate each square root.

\sqrt{25}

Q9a

Use mental math to calculate each square root.

\sqrt{81}

Q9b

Calculate the dimensions of a square with each of these areas.

441 m^2

Q10a

Calculate the dimensions of a square with each of these areas.

121 m^2

Q10b

Calculate the dimensions of a square with each of these areas.

900 cm^2

Q10c

Calculate the dimensions of a square with each of these areas.

10 000 cm^2

Q10d

Evaluate each expression.

4\times(5-2)-2^3

12+2^2-(1+2)\times3