MPM 1D1 PRACTICE QUIZ #1 NAME:
INTEGERS, EXPONENTS, & WORKING WITH FORMULAS DATE: PD.
1. Simplify. (6 marks)
a) = b) = c) =
d) = e) = f) =
2. Choose the expression that is equivalent to each of the following by writing the appropriate letter in the
spaces provided. (2 marks)
a) = b) = _____
A. A.
B. B.
C. C.
D. D.
3. Simplify. (6 marks)
a) = b) = c) =
d) = e) = f) =
4. First rewrite with NO brackets NOR double signs, then evaluate. (4 marks)
a) b)
= =
= =
5. Write as a single power. Do not evaluate. (9 marks)
a) = b) = c) =
d) = e) = f) =
g) = h) = i) =
6. What is the value of ? (2 marks)
a) b)
7. Find the volume of air in a giant spherical beach ball that has a radius of 1.8m. Sketch the ball and label its key dimension. (2 marks)
Volume of sphere formula Work
8. Find the radius of another giant spherical beach ball if it has half the volume of the beach ball described in question #7. Include a labelled sketch. (2 marks)
Volume of sphere formula Work
9. Find the area of a triangular flag that is 4m tall and 6m wide. Include a labelled sketch. (2 marks)
Area of triangle formula Work
10. Find the width (base length) of a flag which is similar to that in #9, but its key dimensions are slightly different. It has a height of only 3m and an area of 7.5m2. Include a labelled sketch. (2 marks)
Area of triangle formula Work
11. A meteorite is surrounded by its impact circular crater. Find the area of the crater if it takes you 25min to walk directly to its outer edge, starting from the meteorite. Note that you walk at a pace of 2.5km/15min. Include a sketch. (4 marks)
Area of circle formula Work
12. Another meteorite has an impact crater with area 1256m2. What is the distance from the meteorite to the outer edge of the crater? How long will it take you to walk that distance if you walk at 2.5km/15min? Include a sketch. (4 marks)
Area of circle formula Work