PLACE VALUE & OPERATIONS
Which number is 10 times smaller than 6,420?
A. 642
B. 64.2
C. 6,410
D. 642,000
A. 642
Which fraction is closest to 1?
A. 5/6
B. 7/8
C. 9/10
D. 11/12
D (11/12)
Which number is greatest?
A. 0.705
B. 0.75
C. 0.57
D. 0.7050
B (0.75)
An angle measures 135°. What type of angle is it?
Obtuse angle
There are 36 students. Each table seats 5 students.
How many tables are needed?
8 tables (must round up)
Which expression is equivalent to 5,036 + 2,980?
A. (5,000 + 2,000) + (36 + 980)
B. (5,036 + 2,000) + 980
C. (5,000 + 2,980) + 36
D. All of the above
D. All are equivalent
Which equation is true?
A. 3/4 + 2/8 = 5/12
B. 3/4 + 2/8 = 1
C. 3/4 + 2/8 = 7/8
D. 3/4 + 2/8 = 5/8
B (equals 1)
Which equation is true?
A. 3.6 × 10 = 36
B. 3.6 × 10 = 3.60
C. 3.6 × 10 = 360
D. 3.6 × 10 = 0.36
A (36)
A rectangle has a perimeter of 30 cm. One side is 8 cm.
What is the other side?
7 cm
A store had 120 pencils. They sold 3 packs of 18 pencils each.
How many pencils remain?
66 pencils
A number rounds to 7,000 when rounded to the nearest thousand. Which could be the number?
A. 6,499
B. 6,501
C. 7,501
D. 7,600
B. 6,501
Order from least to greatest:
2/3, 3/5, 5/6
3/5, 2/3, 5/6
Estimate: 4.82 × 6.1
Which is the best estimate?
A. 24
B. 30
C. 48
D. 60
B (about 30)
A rectangle has area 48 square units. One side is 6 units.
What are the dimensions?
6 × 8
A bike costs $245. It is discounted by $30. Then 5% tax is added.
What is the final cost?
$225.75
Solve: 8,204 − 3,789
Which place value requires regrouping?
4,415; regrouping occurs across ones, tens, and hundreds
A student says:
“5/8 − 1/4 = 4/4 because 5 − 1 = 4 and 8 − 4 = 4.”
Explain the mistake and give the correct answer.
Denominators must be the same;
1/4 = 2/8 → 5/8 − 2/8 = 3/8
Solve: 7.25 ÷ 0.5
Why is the answer larger than 7.25?
14.5; dividing by 0.5 doubles the number
A rectangular prism has volume 120 cubic units.
Length = 10, Width = 3
What is the height?
4 units
A 15-mile race is divided into 2.5-mile segments.
How many segments?
If a runner completes 3 segments, how far have they run?
6 segments; 7.5 miles
A factory produced 4,875 items each day for 6 days. Then 2,430 items were shipped out.
26,820 items
A tank is filled to 3/4 capacity. Then 1/6 of the tank is drained.
What fraction is now full?
7/12
A runner travels:
2.4, 2.75, 3.1, and 3.65 miles over 4 days.
What is the total distance?
How much more on Day 4 than Day 1?
Total = 11.9 miles; Difference = 1.25 miles
A figure is made of two rectangles:
8 × 3 and 5 × 4 (no overlap).
What is the total area?
44 square units
Each box has 24 notebooks.
There are 96 students, each needing 3 notebooks.
How many boxes are needed?
12 boxes