Operations and Algebraic Thinking
Number & Operations in Base Ten
Number and Operations - Fractions
Measurement and Data
Geometry
Mixed Bag
Mixed Bag 2
100
What is the value of the expression 2.5 × (4 + 6)?
25
100
What is 6,781.35 rounded to the nearest tenth?
6,781.4
100
Add:
3/4 + 2/3
Simplify your answer.
1 5/12
100
How many milliliters are in 1.5 liters?
1,500 mL
100
What is the volume of a rectangular prism with dimensions 5 in × 4 in × 3 in?
60 in3
100
6.5 times 10^2
650
100
You are filling a tank with water. It fills at 1.75 gallons per minute. After 8 minutes, how many gallons are in the tank? If the tank holds 20 gallons, how much more can it hold?
1.75 × 8 = 14 gallons used
20 – 14 = 6 gallons left
200
If you divide 45 by 5 and then subtract 3.2, what is the result?
5.8
200
Multiply: 34.5 × 3 = ?
103.5
200
2 1/2 - 3/5
1 9/10
200
A line plot shows measurements of 1/4, 1/2, 3/4, and 1/4 inches repeated. What’s the total?
1 3/4
Inches
200
A cube has a volume of 64 in³. What is the length of one side?
4 in
200
If a triangle has angles of 90°, 45°, and __°, what is the missing angle?
45o
200
A baker uses 2/3 cup of flour per batch. She wants to make 5 1/2 batches. How much flour does she need in total?
2/3 × 5 1/2 = 2/3 × 11/2 = 22/6 = 3 2/3
cups
300
What is the missing number in the equation 7 × ? = 56
8
300
Divide: 156 ÷ 1.2 = ?
130
300
4/5 times 2 1/2
2
300
If 3 gallons of water are poured into jugs that each hold 2 quarts, how many jugs can be filled?
6 jugs
300
A prism is 6 cm long, 3.2 cm wide, and 4 cm tall. What is the volume?
76.8 cm3
300
Which is greater: 3/5 or 5/8?
5/8
300
What is the perimeter of a rectangle with side lengths of 7.25 cm and 4.5 cm? What is the area?
P = 2(7.25 + 4.5) = 23.5 cm
A = 7.25 × 4.5 = 32.625 cm²
400
Solve: 18 – (3 × 2.5) + 1.5 = ?
12
400
What is the value of the digit 7 in the number 8,739.25?
700
400
3 3/4 divide 1 1/2
2 1/2
400
A rectangle is 12.4 cm long and 4.3 cm wide. What is the area?
53.32 cm2
400
A rectangular prism is made by combining two smaller prisms. One is 5×2×2 and the other is 3×2×2. What is the total volume?
20 + 12 = 32 in3
400
You run 2.4 kilometers each day for 6 days. Then on the 7th day, you run 4.75 kilometers. What is the total distance?
If you ran the same amount each day, about how many km did you run each day to get your total km?
Total = 19.15 km
Each day = about 3 km/day
400
A line plot shows: 1/2, 3/4, 1/4, 1/2, 3/4, 1/4, 1/2. What is the total?
Total
= 3/4+3/4+1/2+1/2+1/2+1/4+1/4 = 3 1/2
500
If a number is multiplied by 4.5 and then 2 is added, the result is 29. What is the number?
6
500
Subtract: 9,205.8 – 4,379.6 = ?
4,826.2
500
Which is greater: 7/10 or 3/4? Prove your answer using common denominators.
3/4 because (30>28)
500
Convert 250cm to meters.
2.5 m
500
If a right triangle has one angle measuring 35°, what is the measure of the other non-right angle?
55o
500
A factory produces 3.6 meters of fabric every minute. How many meters are made in 2 hours?
3.6 times 120 = 432
meters
500
A box has a volume of 360 in³. It’s 10 inches long and 6 inches wide. What is its height? Then, if it’s filled halfway, how many in³ is that?
Height = 6 in
Half full = 180 in3
600
Evaluate: (15 ÷ 3) × (6.5 – 2.5) = ?
20
600
Multiply: 3.25 × 0.4 = ?
1.3
600
Write 2 2/5 as a decimal.
2.4
600
A batch of juice requires 3/4 cup of sugar. You’re making 2 1/2 batches. How much sugar do you need?
1 7/8
cups
600
If one side of a prism is missing but the volume is 90 cm³ and the base area is 15 cm², what is the missing height?
6 cm
600
A number pattern starts with 2.4 and increases by multiplying each number by 1.5. What is the 4th number in the pattern?
2.4 → 3.6 → 5.4 → 8.1
600
A recipe uses 3/4 cup sugar, 1 1/2 tsp cinnamon, and 2 1/4 cups flour. If you triple the recipe, how much of each ingredient do you need?
Sugar = 2 1/4 cups
Cinnamon = 4 1/2 tsp
Flour = 6 3/4 cups
700
What is the value of 8 × (5.2 – 2.2) + 1.6 ÷ 0.4?
28
700
Add 7.45 + 8.01, then multiply the sum by 10⁰. What is the final result?
15.46
700
Convert 3/8 to a decimal.
0.375
700
A truck holds 2,000 kg. If each crate weighs 125.4 kg, how many full crates can the truck carry?
15 full crates
700
What is the total surface area of a cube with side length 3 in?
54 in2
700
Which number is greater: (2/3) ÷ (3/5) or (3/5) ÷ (2/3)? Justify with math.
(3/5) ÷ (2/3) is greater
10/9 vs 9/10
700
A teacher has 4 boxes of pencils. Each box contains 3 trays. Each tray has 12 pencils. How many pencils does the teacher have?
144 Pencils
800
If 5n – 3.5 = 21.5, what is the value of n?
5
800
A number is multiplied by 10³ and the result is 4,790. What is the original number?
4.79
800
You ate 2/3 of a pizza and your friend ate 3/5 of another same-sized pizza. Who ate more and how much more?
You ate more by
1/15
800
A line plot shows five 1/2 lb bags and four 3/4 lb bags. What’s the total weight?
5 1/2 lbs
800
168 ft3
800
What is the difference between 3.08 and 2 3/10?
0.78
800
Write an equation to model this situation: “Twice a number plus 3.5 is 11.5.” Then solve it.
2n + 3.5 = 11.5
n = 4