Unit Tests For Workbook 3
Unit Tests For Workbook 3
Unit Tests For Workbook 3
JUMPMath
Contents
Patterns & Algebra – Part 1
Answer Key for Patterns & Algebra – Part 1
Number Sense – Part 1
Answer Key for Number
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Sense – Part 1
Measurement – Part 1
Answer Key for Measurement
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– Part 1
Probability & Data Management – Part 1
Answer Key for Probability & Data Management����������
– Part 1
Geometry – Part 1
Answer Key for Geometry
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– Part 1
Patterns & Algebra – Part 2
Answer Key for Patterns & Algebra – Part 2
Number Sense –��������
Part 2
Answer Key for Number Sense – Part 2
Measurement – Part 2
Answer Key for Measurement���������
��������������������
– Part 2
Probability & Data Management – Part 2
Answer Key for Probability
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& Data Management���������
– Part 2
Geometry – Part 2
Answer Key for Geometry���������
�����������������
– Part 2
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–1–
Section A
1. Use the number line to find the difference between the two numbers:
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
a) 13 16 b) 21 23 c) 19 24
35 36 37 38 39 40 41 42 43 44 45
a) 45 42 b) 41 37 c) 42 38
a) 68 61 b) 83 78 c) 60 58
a) 6 , 10 , 14 , ____ b) 29 , 24 , 19 , ____
+3
-2
6. 2, 7, 12, 17...
James says the above pattern was made by adding 5 each time. Is he right? Explain how you know:
Section B
7. Circle the core in each pattern:
a) Y R R Y R R Y R R
b) R Y Y Y R Y Y Y R Y Y Y
c) Y R R Y Y R R Y Y R R Y
d) R Y R Y Y R Y R Y Y R Y R Y Y
e) Y R Y Y R Y Y R Y Y R Y
R Y Y R Y Y R Y Y
Section B (continued)
10. Name two attributes that change in each sequence:
a) R R B B _______________ _______________
b) R B R _______________ _______________
B R R
c) _______________ _______________
d) R B _______________ _______________
Y R
e) _______________ _______________
11. Draw your own pattern where two attributes change. Describe how your pattern changes:
Section B (continued)
12. Draw the next figure in each sequence:
a)
b)
14. With numbers, create your own pattern and state the rule:
Section C
15. Fill in the following T-tables and state the rule:
1 6 1 1 1 10
2 9 2 6 2 15
3 12 3 11 3 20
17. Nandita makes brooches with triangles (see picture at right). She has 17 triangles.
Does she have enough triangles to make five brooches if there are four triangles in
each brooch? Explain how you know.
Section A
1. Beside each number, write the place value of the underlined digit:
a) 16 b) 5 c) 49
d) 29 e) 268 f) 977
2. Give the place value of the number 5 in each of the numbers below:
a) 53 b) 25 c) 357
b) 34 ________________________________________________________________
5. Draw base ten models for the following numbers. Be sure to make your models the right size!
a) 206 b) 49
Section A (continued)
6. Expand the following numbers in numerals and words:
a) 78 = ____ hundreds + ____ tens + ____ ones b) 829 = ____ hundreds + ____ tens + ____ ones
c) 564 = __________________________________________________________________________________
d) 701 = __________________________________________________________________________________
8. For each number below, draw the base-ten model. Write each number in expanded form first:
a) 427 = ____________________________ b) 32 = ____________________________
9. Adrian has 300 red tulips, 80 yellow tulips and 3 pink tulips in his garden. How many tulips does he
have in total? Explain how you found your answer:
Section B
11. Add the numbers by adding the digits:
a) 2 2 b) 1 4 c) 5 1 d) 6 2 e) 8 3
+ 3 3 + 1 2 + 2 3 + 1 2 + 1 2
a) 2 6 b) 2 7 c) 3 8 d) 2 8 e) 5 4
+ 3 8 + 2 6 + 2 3 + 1 5 + 2 9
a) 4 2 1 b) 2 5 3 c) 2 4 2 d) 3 2 8 e) 7 2 6
+ 3 8 3 + 2 7 1 + 4 1 7 + 3 5 9 + 2 2 1
15. Jacob’s father is 48. His aunt is 32. How much older than Jacob’s aunt is Jacob’s father? Show
your work.
16. For the questions below, you will have to regroup twice – from the hundreds and from the tens
(i.e. regroup a ten as 10 ones and a hundred as 10 tens):
a) 5 3 2 b) 3 1 2 c) 8 2 3 d) 9 4 0
− 2 6 7 − 1 7 5 − 2 6 8 − 5 9 6
Section B (continued)
17. Pens cost 52¢. Erasers cost 49¢. Eric has 97¢. Does he have enough money to buy a pen and an
eraser? Explain how you know:
18. Which number is greater: 843 or 852? Explain how you know:
19. List all the two-digit numbers you can make using the digits 7 and 5. Use each digit once.
Circle the greatest number:
20. Create the greatest possible number you can make using the digits 6, 7 and 3:
21. Lake Ontario 193 km This chart shows the lengths of the Great Lakes:
Lake Superior 350 km a) Write the lengths of the lakes in order from shortest to longest.
Lake Michigan 307 km
Lake Huron 206 km
Lake Erie 241 km
c) How much longer than the shortest lake is the longest lake?
Section C
22. Draw arrays for these products:
a) 3 × 7 b) 2 × 4 c) 4 × 6
a) 2 × 3 = b) 3 × 5 = c) 4 × 2 = d) 3 × 2 = e) 4 × 5 =
f) 2 × 5 = g) 4 × 3 = h) 2 × 4 = i) 5×4= j) 4×4=
24. Find the total number of apples in each question. Write a multiplication statement for your answer:
Section C (continued)
26. The triceratops dinosaur had 3 horns. How many horns did 7 triceratops dinosaurs have?
Explain how you found your answer. (Did you use multiplication? A picture? An array?)
27. A cat has 4 legs. How many legs will 5 cats have?
29. Write all the pairs of numbers you can think of that multiply to give 12:
Section D
31. Count the given coins and write the total amount:
c) 25¢ 25¢ 10¢ 10¢ 10¢ 5¢ 5¢ d) 25¢ 25¢ 25¢ 25¢ 10¢ 10¢ 10¢
1¢
32. For the given amounts in cents, write the number of dimes and pennies in the chart.
b) 40¢
c) 58¢
d) 6¢
33. Sindi buys a notebook for 25¢ and a pen for 57¢. She pays $1.00. How much change will she get?
34. Angela buys an eraser for 63¢. She pays with 3 quarters. How much change will she get?
Draw the coins.
35. How could you trade three dimes for fewer coins?
a) 1 6
b) 4 0
c) 5 8
d) 0 6
33. Estimate: 10¢.
Actual 18¢
34. 12¢; pictures may
vary.
35. A nickel and a
quarter.
Section A
1. Measure the length of each line using your ruler:
a) _____ cm
b) _____ cm
c) _____ cm
2. Measure the distance between the two points using your ruler:
a) ___ cm b) ___ cm
c) ___ cm d) ___ cm
____ cm
____ cm ____ cm
____ cm
____ cm
____ cm
5. An Olympic swimming pool is 50 metres long. NOTE: Don’t forget to include units in your answer.
a) If you swim 3 lengths, how many metres will you swim in total? _________________
b) If you swim 4 lengths, how many metres will you swim? _________________
c) How many lengths would you need to swim to travel 100 metres? _________________
d) How many lengths would you need to swim to travel 250 metres? _________________
Section A (continued)
6. a) Halifax and Truro are _____ km apart.
7. What would you use to measure the following distances – metres (m) or kilometers (km)?
a) From your class to the principal’s b) Between Vancouver and Montreal: _____
office: _____
c) Between one end of a bus route to the d) Between your school and the
other end: _____ public library: _____
8. The edges of each square making up the following figures is 1 cm long. Find the perimeter in cm:
a) b) c)
9. The picture shows the designs for two swimming pools marked in metres. Find the perimeter of each
pool by writing an addition statement. Don’t forget to include units in your answer!
9m 4m
a) b) 1m
4m
5m 5m 4m
3m
9m
8m
___________________________ ____________________________________
Section A (continued)
10. a) Name an object in your classroom that is about 2 metres long or high:
12. Paul has a box of pencils. Each pencil is 10 cm long. How many pencils, lined up end to end, would
make a metre?
14. A square has sides that are 5 cm long. What is the perimeter of the square? Explain how you know:
Section A (continued)
15. What unit is more appropriate to measure the mass of:
a) g kg b) g kg
c) g kg d) g kg
a) L mL b) L mL
c) L mL d) L mL
17. Water boils at 100°C. Angela measured the temperature of her tea, and it was 87°C. How many
degrees has the temperature changed since the water boiled?
4 cm 4 cm
14. The perimeter of the
square is 20 cm
(since a square has
5 cm four equal sides:
5 + 5 + 5 + 5 = 20).
b)
15. a) g
5 cm b) kg
4 cm
c) g
d) kg
16. a) mL
3 cm
b) L
4. Teacher to check c) L
5. a) 150 m d) mL
(3 × 50) 17. 13°C
b) 200 m
(4 × 50)
c) 2 lengths
(100 ÷ 50)
d) 5 lengths
(250 ÷ 50)
6. a) 90 km
b) 390 km
(300 + 90)
7. a) m
b) km
c) m
d) Teacher to
check
8. a) 10 cm
b) 14 cm
c) 14 cm
9. a) 28 m
(5 + 9 + 5 + 9)
b) 24 m
(4 + 4 + 1 + 4
+ 3 + 8)
Section A
1. Diane asked her classmates to choose their favourite sport. This is what she found:
Total ________ Total ________ Total ________ Total ________ Total ________
2. Make a pictograph to show the data from Question 1 in a different way. Use the symbol (key) for
every two classmates. IMPORTANT: Remember to label your graph.
3. Your key represents two students. Show how you would draw the key to represent one student:
4. What other kind of graph could you use to display this data?
Section A (continued)
5. Joey went to the zoo! This is what he saw:
4 boars 2 parrots 8 penguins
3 lions 1 eagle
a) Fill in the following bar graph to display this data. IMPORTANT: Remember to label each axis.
Key: __________________
Animal Pictograph
Section B
6. a) Label and fill in the Venn diagram provided to display the data about Jesse’s friends
Write the first letter of each friend’s name in the correct circle:
Baseball
Swimming
3. 1 student =
(as used in ‘Soccer’)
4. Answers will vary.
5. a)
8
Number of Animals Seen
7
6
5
4
3
2
1
0
Penguin
Boar
Parrot
Lion
Eagle
t
Section A
1. Find the number of sides on each shape:
a) b) c) d)
A B C D F
E
Section A (continued)
4. Circle the angles that are right angles. HINT: You can check with the corner of a piece of paper.
a) b) c) d)
6. A C E
B D
F
G H I J
Look at the shapes above. Write the letter for each shape that is…
Section B
8. Circle the pairs of shapes that are congruent:
a) b)
c) d)
9. Using the following grids, draw two shapes that are congruent:
10. Using the following grids, draw two shapes that are non-congruent:
11. Look at the shapes within the figure. Find two shapes that are congruent:
D
C
a) Shapes ____ and ____ are congruent.
A E B
b) How do you know?
G
F
c) Can you see any other groups of congruent shapes? If so, list (in groups) as many as you see:
Section C
12. Draw all of the lines of symmetry for each figure with a ruler. One figure has no lines of symmetry:
a) b) c)
13. Draw a figure that has both a vertical and a horizontal line of symmetry. Label both.
14. Use a ruler to measure the sides of the shapes. Say how the shapes are the same and how they are
different. Be sure to mention the following properties:
Section C (continued)
15. Look at these shapes:
A B C D E
B
D
6. a) B, C, D, H, I
C A
b) A, B, E, F, G, E
H, I, J
c) A, E, F, G, J
d) C, D Quadrilateral One or more
right angles
e) B, H
f) B, H, I
7. Yes, a square is also a
rectangle (since it has
4 sides and 4 right
angles).
Section A
1. Continue the following patterns:
2. Circle the core of the following patterns. Then continue the pattern:
a) A C D A C D ___ ___ ___ ___ b) P Q Q A P Q Q A ___ ___ ___ ___ ___
c)
______ ______ ______ ______
3. Find the amount by which the sequence increases or decreases. Write a number with a + sign if the
sequence increases, and a – sign if it decreases. Then write in the square beside the sequence:
- an A if the sequence always increases;
- a B if it always decreases;
- a C if the sequence increases and decreases.
a) 3 , 7 , 5 , 12 , 8 b) 2 , 4 , 3 , 7 , 6
c) 3 , 7 , 11 , 15 , 19 d) 74 , 69 , 64 , 59 , 54
4. Write a rule for each pattern. Use the words add or subtract, and say what number the pattern
starts with:
a) 3 , 5 , 7 , 9 _____________________________________________
b) 14 , 10 , 6 , 2 _____________________________________________
Section A (continued)
5. Write a rule for each pattern:
a) 8 , 13 , 18 , 23 _____________________________________________________
b) 13 , 10 , 7 , 4 _____________________________________________________
c) 62 , 66 , 70 , 74 _____________________________________________________
a) 1 , 4 , 7 , 11 , 15 __________________ b) 2 , 6 , 3 , 2 , 6 , 3 __________________
c) 9 , 8 , 7 , 6 , 5 , 4 __________________ d) 2 , 4 , 6 , 8 , 10 , 12 __________________
e) 1 , 5 , 1 , 5 , 1 , 5 __________________ f) 19 , 15 , 11 , 7 , 3 __________________
7. Create an increasing number pattern. Give the rule for your pattern:
8. Create a decreasing number pattern. Give the rule for your pattern:
a) letters:
b) shapes:
c) numbers:
Section B 1 2 3 4 5 6 7 8 9 10
10. Use the hundreds chart to solve the following:
11 12 13 14 15 16 17 18 19 20
a) Circle the numbers that are multiples of 4.
21 22 23 24 25 26 27 28 29 30
b) Put a square around the numbers that are 31 32 33 34 35 36 37 38 39 40
multiples of 6.
41 42 43 44 45 46 47 48 49 50
c) Write five numbers that are multiples of
both 4 and 6: 51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
11. Sort the numbers in the chart into the Venn diagram.
10 2 4 6 15 12 40
3 24 5 8 9 25 20
Multiples of 5 Multiples of 4
12. Fill in the chart to show the following: Joey saves $15.00 a month starting in January. How much has
he saved by the end of April?
Section B (continued)
13. Predict the shape of the 17th figure in this pattern. Show your work.
14. Show your work for the questions below using the number lines or T-tables.
a) Shari is playing soccer 20 km from her house. If she can cycle 6 km an hour, how far will she
be from her home in 3 hours?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
c) Rafi is on a canoe trip. He will paddle 6 d) Sandra puts 8 objects in each loot bag for
km each day. If he starts his trip on her birthday guests. How many objects
Saturday morning, how far will he have does she need for 5 guests?
traveled by Tuesday night.
Section B (continued)
e) Carol is cycling in a marathon. She must cycle 160 km. If she cycles 10 km per day, how far from
the finish line will she be at the end of Day 4?
a) – 2 = 4 b) – 5 = 10
c) 15 – = 12 d) 4 = 8 –
e) + 2 = 8 f) + 3 = 10
g) 3 + = 7 h) 14 = + 4
i) × 3 = 9 j) 3 × = 6
16. Alan saves $15 in August. He saves $4 each month after that. Noa saves $12 in August.
She saves $5 each month after that. Who has saved the most by end of December?
Show your work.
Section A
1. The number line shows the position of Aleta’s friends in a marathon. Altogether, 70 people participated
in the race:
Mary Brian Rasa Mike Eleanor Claire Niraj Alexis
10 20 30 40 50 60 70
c) Mary came 13th in the race. How many places before Brian was Mary? ____________
d) Ngozi was 7 places in front of Mike. Mark the number line to show Ngozi’s position.
2. Round to the nearest tens place. HINT: Underline the tens digit first.
a) 18 b) 67 c) 82
3. Round to the nearest hundreds place. HINT: Underline the hundreds digit first.
4. Estimate these sums and differences by rounding to the nearest hundreds and adding or subtracting:
5. James counted 315 words on a page. Approximately how many words would be on ...
Section B
6. For each of the following questions, draw dots (or lines) for the things being shared or divided equally
and draw rectangles or circles for the sets:
7. Todd has 20 marbles he wants to share with 4 friends. How many marbles does each friend get?
Use a picture to show how you solved the problem:
8. Judah has 8 kiwis. He wants to give 2 kiwis to each friend. How many friends can he give them to?
Use a picture to show how you solved the problem:
9. Write two multiplication statements and one division statement for the picture below:
Section B (continued)
10. Fill in the blanks (based on the picture given):
___________________________________________________
12. Three friends want to share 8 apples evenly. How many apples will each friend receive? How many will
be left over? Show your work with a picture and a division statement:
13. Find two different ways to share 7 cookies evenly so one is left over:
14. Apple trees in an orchard are planted in 6 rows. There are 3 trees in each row. How many trees are
in the orchard? How did you find the answer? Mental math? Skip counting? A picture?
Section C
15. Name the following fractions:
a) b) c) d)
2
16. Describe the picture in two ways using the fraction 7 :
1. _______________________________________________________________________
2. _______________________________________________________________________
17. A lacrosse team wins 7 games, loses 3 games and ties 1 game. What fraction of the games
did the team…
1
18. Fill in the missing number to make a fraction that is equal to 2 :
a) 6 b) 10 c) 8 d) 12
1
19. Circle the fractions that are greater than 2 .
3 2 3 8
a) 4 b) 10 c) 8 d) 12
1
20. Circle 4 of each set of triangles.
a) b)
5
21. Jean eats 6 of a cake. What fraction of the cake is leftover? __________________
3 3
22. Which fraction is larger, 4 or 8 ? Explain your thinking:
Section D
23. Count the given coins and write the total amount in cents and in dollar (decimal) notation:
c) 25¢ 25¢ 10¢ 10¢ 10¢ 5¢ 5¢ d) 25¢ 25¢ 25¢ 25¢ 10¢ 10¢ 10¢
1¢
e) f)
25¢ 25¢ 25¢ 25¢ 10¢ 1¢ 25¢ 25¢ 10¢ 10¢ 10¢ 10¢ 1¢
24. For the given amounts in cents, write the number of dollars, dimes and pennies in the chart.
Then write the amounts in dollars.
25. Count the given coins and bills, and write your answer in both cent and dollar notation:
a) $1
Total in cent notation = ________
$1 $1
Section D (continued)
26. Write each number of cents in dollar notation:
28. Jordan wants to buy a CD which costs $7.30 and some glue which costs $2.65. How much
money does he need to buy both items?
a) $ 9 0 0 b) $ 3 4 6
– $ 4 3 2 + $ 4 3 8
30. Amit has $6.81. Abby has $4.29. How much more money does Amit have?
For each problem below, write down an estimate. Then find the exact amount:
31. Jason has $3.65. Arden has $4.22. How much do they have altogether?
32. Sindi buys a book for $5.25 and a pen for $2.67. She pays $9.00. How much change will
she get?
Division statement:
8 ÷ 3 = 2 R2
13. Way #1:
2 cookies to each of
3 people, with 1 left over
Way #2:
3 cookies to each of
2 people, with 1 left over
14. There are 18 trees in the
orchard.
Answers may vary re: how
students found the answer.
Teacher to check.
Section A
1. Write the time given by each clock. Include both the hour and the minute. Remember that the hour
hand is the short hand and the minute hand is the long hand:
a) 11
12
1 b) 11
12
1 c) 11
12
1
10 2 10 2 10 2
9 3 9 3 9 3
8 4 8 4 8 4
7 5 7 5 7 5
6 6 6
2. Give the time on the following digital clocks in two ways: (i) in words; and (ii) on the analog clock.
a) b) c)
12 12 12
11 1 11 1 11 1
10 2 10 2 10 2
9 3 9 3 9 3
8 4 8 4 8 4
7 5 7 5 7 5
6 6 6
3. Emily practiced piano for 20 minutes. Count by 5’s to find out what time she stopped playing at for each
of the times below. REMEMBER: When you reach 60 minutes you must add one to the hour!
Stop
HINT: In the following, count backwards by 5’s to find out what time Emily started.
Start
Section B
4. Find the area of these figures in square centimetres:
a) b) c)
5. The sides of the rectangles have been marked in centimetres. Using a ruler, draw lines to divide the
rectangles into square centimetres:
a) b) c)
6. How can you find the area (in square units) of each of the shapes below?
A B C D
Section C (continued)
7. Draw 2 different rectangles with
an area of 6 units:
Count each pair of shaded half squares as a whole square to find the area shaded:
a) b)
a) 6 decades
b) 7 centuries
10. Pete read for 1 hour and 45 min. Tegan read for 100 minutes.
10 2 2
c) Area = 8 cm
9 3
6. To help find the area of the
8 4 shapes provided, students
7 5 may choose to extend the
6
“unit” lines and count – as
done in Question 5 – or
b) Ten minutes
they may choose to find
after five;
the length and width of
each shape and then
11 12 1 multiply.
10 2
Area of A = 9 square units
9 3
Area of B = 6 square units
8 4 Area of C = 8 square units
7 5
6 Area of D = 16 square units
7.
c) Twenty minutes
after eleven;
11 12 1
10 2 8. a) 8 whole squares
9 3 b) 8 whole squares
9. a) 60 years
8 4
7 5 b) 700 years
6
10. Pete read for 105 min,
5 min longer than Tegan.
3. a) Stop – 2:40
b) Stop – 3:30
c) Stop – 5:35
d) Stop – 12:25
e) Stop – 11:00
f) Stop – 5:05
g) Start – 9:20
h) Start – 1:15
i) Start – 5:40
j) Start – 11:00
k) Start – 1:45
l) Start – 12:50
1 2
a) • _______________________________________________________________
3
2
b)
• _______________________________________________________________
_______________________________________________________
a)
b)
4. Complete each statament by writing more than a half, half, or less than a half.
a) 2 is ____________________ of 6 b) 8 is ____________________ of 14
c) 7 is ____________________ of 10 d) 5 is ____________________ of 10
e) 3 is ____________________ of 8 f) 4 is ____________________ of 8
5. A box contains 10 marbles. 4 are red. Is it likely or unlikely that you will draw a red marble?
Explain how you know.
Section A
1. Join the dots in the given column and row:
a) b) c) d)
3. Identify the column and the row for the circled dot.
a) b) c) c)
a) b)
a) b)
Section A (continued)
6. Slide the shapes in the grids below. Then describe the slide by writing how many boxes you moved the
figure horizontally (right or left) and how many boxes you moved it vertically (up or down):
a) b)
7. Miriam is trying to cross the lake without bumping into any of the islands. Describe the path that she
took to get from her start, to her finishing point:
A
B C 2. From B to C ________________
island
3. From C to D ________________
4. From D to E ________________
island
5. From E to F (finish) ________________
F
3 Farm
b) What would you find if you travelled 2 grid
squares south of the farm?
2 Town
c) Give the coordinates of the town:
1 Pond
d) Describe how to get from the pond to the hill:
A B C D E
North
e) Describe how to get from the farm to the town:
West East
South
Section B
9. Show what the figure would look like after the rotation. First rotate the dark line, then draw the rest of
the figure:
a) b) c) d)
1 3 1 1
4 turn clockwise 4 turn clockwise 4 turn counter 2 turn clockwise
clockwise
10. In each question below, the figure has changed position. Did it flip, slide, or turn? Circle the correct
answer:
a) b) c)
d) e) f)
Section C
A B C D E
12. Using the pictures above as reference, complete the chart below:
A B C D E
Number of Faces
Number of Edges
Number of Vertices
15. Erin describes her pattern as follows: “I used a triangle, an arrow and a circle. The arrow turned.”
5. a)
c)
b)