Operations & Algebraic Thinking
What is 7 × 5?
A. 35
B. 25
C. 12
D. 45
a. 35
What is the value of the digit 5 in 358?
A. 5
B. 50
C. 500
D. 8
b. 50
A.2/8
B. 2/4
C. 1/4
D. 2/3
b. 2/4
Which is longer: 1 foot or 12 inches?
A. 12 inches
B. They are the same
C. 1 foot
D. 10 inches
B. They are the same
How many sides does a hexagon have?
A. 5
B. 6
C. 8
D. 4
B. 6
Which equation shows the Associative Property of multiplication?
A. 2 × (3 × 4) = (2 × 3) × 4
B. 4 + 3 = 3 + 4
C. 5 × 1 = 5
D. 6 × 0 = 0
A. 2 × (3 × 4) = (2 × 3) × 4
Which number is greater?
a. 1,002,574
b. 1,020,745
c. 1,002,754
d. 1,002, 575
b. 1,020,745
Which number line shows the location of 3/4 correctly?
A. Between 0 and 1/2
B. Between 1/2 and 1
C. At the same spot as 1/2
D. After 1
A: B. Between 1/2 and 1
If a pencil is 7 inches long and a crayon is 4 inches long, how much longer is the pencil?
A. 3 inches
B. 4 inches
C. 11 inches
D. 2 inches
A: A. 3 inches
Which of these is not a quadrilateral?
A. Rectangle
B. Square
C. Triangle
D. Rhombus
C. Triangle
Write a story problem that matches this equation:
(3 × 4) + (2 × 5) = ___
Then solve it.
(sample):
There are 3 rows of 4 apples and 2 rows of 5 oranges. How many pieces of fruit in total?
Solve: 4,000 – 2,367 = ?
1,633
Compare the fractions 2/6 and 1/3. Are they equal? Explain your answer using words, drawings, or a number line.
Yes, they are equal. If you divide a shape into 6 parts and shade 2, it’s the same amount as dividing it into 3 parts and shading 1. 2/6 = 1/3.
A line plot shows the lengths of 8 worms in inches. If 3 worms are 2 inches long, 2 worms are 3 inches long, and 3 worms are 4 inches long, what is the total length of all the worms?
(3 × 2) + (2 × 3) + (3 × 4) = 6 + 6 + 12 = 24 inches
Draw a shape with 4 sides. All sides are the same length, but the angles are not right angles. What shape is this?
A rhombus (student should label the shape)
Which number makes this equation true?
___ ÷ 3 = 8
A. 24
B. 5
C. 21
D. 3
a. 24
Which number is 200 more than 1,385?
A. 1,285
B. 1,585
C. 1,495
D. 1,385
B. 1,585
Which set of fractions is in order from least to greatest?
A. 2/3, 1/2, 3/4
B. 1/4, 1/2, 3/4
C. 3/4, 1/2, 1/4
D. 1/2, 1/4, 3/4
A: B. 1/4, 1/2, 3/4
A rectangular garden is 7 feet long and 4 feet wide. What is its area?
A. 11 square feet
B. 28 feet
C. 28 square feet
D. 22 square feet
C. 28 square feet
Which shape has no straight sides and no angles?
A. Triangle
B. Circle
C. Square
D. Hexagon
B. Circle
Max is thinking of a number. He multiplies it by 3 and then adds 9. His answer is 30. What number did he start with?
Let x = the number
3x + 9 = 30
3x = 21 → x = 7
Jenny had 2,000 stickers. She gave away 567 to friends and then bought 184 more. How many stickers does she have now?
2,000 – 567 = 1,433
1,433 + 184 = 1,617 stickers
Sophia ate 2/8 of a pizza, and Max ate 1/4 of a pizza. Who ate more? Explain how you know using equivalent fractions or a visual model.
1/4 is equal to 2/8, so they ate the same amount. You can show it by dividing a pizza into 8 slices and shading 2, which matches shading 1 out of 4 big pieces.
A water tank holds 1 liter of water. Max fills 1/4 of the tank. How many milliliters of water did he use?
(1 liter = 1,000 milliliters)
1/4 of 1,000 = 250 milliliters
Name two different quadrilaterals that have 4 sides and explain how they are different.
(sample): A square and a rectangle. Both have 4 sides and 4 right angles, but a square has all sides the same length, and a rectangle has opposite sides equal.