Number Sense & Place Value
Multiplication & Division Thinking
Fractions & Decimal Reasoning
Geometry, Measurement & Area
Advanced Multi-Step Problems
100

Round 684,921 to the nearest ten thousand.


Answer: 680,000

100

Without solving exactly, determine if the answer to:

398 × 6

will be closer to:

  • 2,000
    or
  • 3,000

Explain.


Answer:
Closer to 2,000 because 400 × 6 = 2,400

100

Which is greater?

4/6 or 3/5



Answer:
4/6 is greater
(4/6 = 0.666…, 3/5 = 0.6)

100

A rectangle has:

  • length = 12 cm
  • width = 5 cm

If the width doubles, what happens to the area?


Answer:
New area = 120 sq cm
The area doubles.

100

A teacher bought:

  • 8 packs of pencils
  • 14 pencils in each pack

Then she gave away 29 pencils.

How many pencils remain?


Answer:
8 × 14 = 112
112 − 29 = 83 pencils

200

What is the missing digit?

4_,782 rounds to 45,000.


Answer: 5, 6, 7, 8, or 9

200

A student solved:

248 ÷ 4 = 72

Find the mistake and solve correctly.


Answer:
Correct answer is 62

200

Which is greater?

5/6 or 7/9


Answer: 5/6

200

A square has a perimeter of 36 feet.

What is the side length?


Answer: 9 feet

200

A movie theater sold:

  • 248 tickets Friday
  • 376 tickets Saturday

Tickets cost $6 each.

How much money was collected altogether?


Answer:
248 + 376 = 624
624 × 6 = $3,744

300

Order from least to greatest:

0.72, 0.207, 0.702, 0.27


Answer:
0.207, 0.27, 0.702, 0.72

300

A school has 1,248 students.
Students are placed equally into 6 grade levels.

Then each grade level is split equally into 4 classes.

How many students are in each class?


Answer:
1,248 ÷ 6 = 208
208 ÷ 4 = 52 students

300

Write two fractions equivalent to 6/9.


Answer:
2/3 and 12/18

300

A rectangle and a square both have a perimeter of 24 units.

Can they have the same area? 


Possible Answer:
Yes.
A square with side length 6 has area 36.
A rectangle 5 × 7 also has perimeter 24 but area 35, so sometimes yes and sometimes no.

300

A baker made 1,200 cookies.
He packed them equally into 15 trays.

Then 18 cookies from each tray were sold.

How many cookies remain altogether?


Answer:
1,200 ÷ 15 = 80
80 − 18 = 62
62 × 15 = 930 cookies

400

Order from least to greatest:

0.8, 0.08, 0.18, 0.808


Answer:
0.08, 0.18, 0.8, 0.808

400

A company ships 3,456 cans equally into 8 trucks.

A student says the answer must be greater than 500 because 3,456 is a large number.

Do you agree? 


Answer:
No.
3,456 ÷ 8 = 432

400

A bottle was filled to 7/10 of its capacity.
After drinking some water, 3/10 remained.

How much water was consumed?


Answer: 4/10 or 2/5

400

A rectangular playground has:

  • area = 96 square feet
  • width = 8 feet

A student says the perimeter must be 104 feet because 96 + 8 = 104.

Find the mistake and find the actual perimeter.


Answer:
96 is area, not side length.
Length = 96 ÷ 8 = 12
Perimeter = 2(12 + 8) = 40 feet

400

A school ordered:

  • 24 boxes of markers
  • each box contained 36 markers

Teachers used 278 markers.

The remaining markers were shared equally among 6 classrooms.

How many markers did each classroom receive?


Answer:
24 × 36 = 864
864 − 278 = 586
586 ÷ 6 = 97 remainder 4

500

A number has:

  • 3 digits before the decimal
  • 2 digits after the decimal
  • a value greater than 599
  • a tenths digit less than 4
  • the same digit in the hundreds and hundredths place

Create one possible number.


Possible Answer: 606.02

500

A farmer planted:

  • 28 rows
  • 36 plants in each row

Then:

  • 245 plants died
  • The remaining plants were split equally into 7 gardens

How many plants were placed in each garden?


Answer:
28 × 36 = 1,008
1,008 − 245 = 763
763 ÷ 7 = 109 plants

500

Three friends ate pizza:

  • Liam ate 2/8
  • Ava ate 1/4
  • Noah ate 3/8

Who ate the most and who ate the least?


Answer:
Most = Noah (3/8)
Least = Ava (1/4 = 2/8)

500

A room measures:

  • 18 ft long
  • 14 ft wide

Tiles come in boxes that cover 21 square feet each.

How many boxes are needed to cover the floor completely?


Answer:
18 × 14 = 252 sq ft
252 ÷ 21 = 12 boxes

500

An amusement park sold:

  • 1,248 child tickets
  • 976 adult tickets

Each ride holds 16 people.

If every person rides once, how many total rides are needed?


Answer:
1,248 + 976 = 2,224
2,224 ÷ 16 = 139 rides