Review for Math PAT
Name:______________
1. The pattern rule that relates the input to the output is: Add 2 to the input, then
divide by 5. Find the missing numbers in the table. How can you check your
answers?
Input
3
?
18
43
?
Output
1
3
?
?
14
2. The table shows the input and output for a machine with two operations.
a. Identify the numbers and operations in the machine
b. Write a pattern rule that relates the input to the output.
c. Graph the data in the table. Describe the relationship show on the
graph.
d. Write an expressions to represent the pattern.
e. Find the output when the input is 14. Which strategy did you use?
Input
5
6
7
8
Output
11
14
17
20
3. a. Make an Input/ Output table for this graph.
b. How does the graph represent the pattern?
4. Which of the scales are balanced? How do you know? Show your work using scales.
a. 4 x 12 = 60-12
b. 27 + 8 = 8 x 4
c. 37 – 23 = 42 ÷ 3
5. In 2007, about 304 000 people visited the Science Centre in Calgary. About 54 500 of these
visitors were students. In 2006, the total number of visitors was 263 000.
a. By how much did the attendance increase from 2006 to 2007?
b. How many of the visitors in 2007 were not students?
c. What was the total attendance over the two years?
6. Find all the common multiples of 3 and 4 between 10 and 100.
7. Find all the factors of each number. Record the factors. Which factors are prime numbers?
a. 49
b. 32
c. 66
d. 96
8. Evaluate each expression. Explain why the answers are different.
a. 15 + 6 ÷ 3
b. (15 + 6) ÷ 3
9. Order these integers from least to greatest.
+5, -6, -8, 2, 0, -5, -1
10. Write the number in each fact in as many different forms as you can.
a. The Asian watermeal is the world’s smallest flowing plant. It has a mass of about 0.000 15 g.
b. The typical length of a human liver cell is about 0.000 05m.
11. Jenny paid $194.25 for 7 admission tickets to the zoo in Calgary. Estimate the cost of 1
admission ticket. Show your work.
12. Multiply.
a. 3.7 x 9
b. 4.03 x 5
c. 6.841 x 6
d. 0.004 x 9
e. 0.0013 x 3
f. 0.093 x 7
13. In the 2006 Turin Olympics, Cindy Klassen of Winnipeg won a silver medal in the women’s
1000m speed skate event. She skated 9 laps in 76.09 seconds. About how long did it take Cindy
to skate 1 lap?
14. Divide.
a. 3.192 ÷ 7
e. 0.0096 ÷ 8
b. 11.59 ÷ 5
c. 36.752 ÷ 8
f. 0.0567 ÷ 9
d. 0.049 ÷ 7
15. Measure each angle. Name each angle as acute, right, obtuse, straight, or reflex.
a.
b.
c.
d.
e.
f.
16. Use a ruler and a protractor. Draw an angle with each measure.
a. 35°
b. 160°
c. 310°
d. 95°
17. A backgammon board contains 24 congruent triangles. Here is one of the triangles.
a. Find the measures of the unknown angles without measuring.
b. Check your answers by measuring with a protractor.
18. Place the numbers in each set on a number line. Show your work. List the numbers from
greatest to least.
1 5 9
8 2 4
a. 2 , ,
3 5
2 3
b. , , 1
5
12
19. Chef Blanc uses 4 parts of oil for every 3 parts of vinegar to make a salad dressing for his
restaurant in High River. Suppose he uses 12 parts of oil. How many parts of vinegar will he
use?
12°
20. Draw pictures to represent each amount.
a.
7
50
b. 0.51
c. 29%
3
d. 0.02
e. 20
f. 9%
21. Write each ratio in as many ways as you can.
a. Snowshoes to snowshoes
b. Snowboards to snowshoes
c. Snowboards to snowshoes and
snowboards
d. Snowshoes to snowshoes and
snowboards
22. Write 2 equivalent ratios for each ratio.
a. 5:3
b. 1:6
c. 4:7
d. 1:5
23. Use a ruler and a protractor. Measure the sides and angles of each triangle.
a. Name each triangle by the number of equal sides. Label Scalene, Equilateral, or Isosceles.
b. Name each triangle by the angle measures: acute, right, or obtuse.
24. Using the dot paper provided. Draw four congruent regular polygons. How do you know they
are congruent?
25. a. This dinner plate is shaped like a regular octagon. The side length of the octagon is 9.5 cm.
Calculate the perimeter of the dinner plate. Which strategy did you use?
b. Write a formula that you could use to find the perimeter of any regular octagon. Explain why
the formula works.
26. Beth sent her pen pal a stuffed animal. She packed the animal into a box that measured 22cm by
12cm by 15 cm.
a. Draw the box for the stuffed animal
b. What is the volume of the box.
27. Would you use a line graph or a series of points to display each set of data? Explain your
choices.
a. The height of a corn plant as it grows.
b. The life left in a light bulb as it burns
c. The population of your school over the last 10 years.
28. The table shows the estimated grizzly bear population on
Alberta provincial land (excluding national parks) from 1996 to
2000.
a. Draw a graph to display these data on the paper provided.
b. Explain how you chose the vertical scale.
c. Did you join the points? Explain.
d. What conclusions can you make from the graph.
Year
1996
1997
1998
1999
2000
Estimated Number
of Grizzly Bear
765
776
807
833
841
29. George has a collection of foreign coins. He has 2 coins from Britain, 6 from Japan, 12 from
Mexico, and 4 from China. Assume all the coins have the same size and mass. George places the
coins in a bag and picks one out without looking.
a. List the possible outcomes
b. What is the theoretical probability of each outcome?
- George picks a Chinese coin
- George picks a Mexican coin
- George picks a Canadian coin
-George picks a coin that is not British
Use
30. Olivia surveyed the Grade 6 students in her school to answer this
questions: What do you use the Internet for most often? The table
shows the data she collected.
a. Draw a graph to display these data. Explain your choice of graph.
b. What do most students use the Internet for? How does the graph
show this?
31. Draw and Label a coordinate grid. On the paper provided
P(20,20)
Q (20,60)
R (40,70)
S (60, 60)
a. Plot each point on the grid.
b. Join the points in order. Then join T to P.
c. Describe the shape you have drawn.
d. Find the length of the vertical side of the shape.
E-mail
Chatting
Downloading
Music
Homework
Other
Number of
students
15
18
12
8
7
T (50, 10)
32. Copy this shape and its image on the grid paper.
a. Describe as many different single transformations as you can that move the shape to its
image.
b. For each transformation, label the vertices of the
image.
33.
a.
Reflect the shape in the line of reflection. Then translate
the reflection image 5 squares down. What are the
coordinates of the final image?
b.
Translate the shape and then reflect the shape again in
the line of reflection. What would the coordinates of the final
image be?
34. Rhiannon designed this logo for her gardening club. She transformed copied of 3 shapes to
make a flower-like shape.
a. Copy the design. Identify the 2 original shapes.
b. Describe the transformations that could have been used to create the logo.
c. Is another set of transformations possible? If your answer is yes, describe the
transformations.