Grade 5

Math Challenge

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

A 3B 12C 36D 108

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

How many inches are in a yard?

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

How many inches are in a yard?

Maybe we should start

by figuring out how many

feet are in 1 yard…

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

3 feet = 1 yard

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

How many inches equal

1 foot?

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

12 inches = 1 foot

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

We know:

12 inches = 1 foot and 3 feet = 1 yard

So how many inches are in 1 yard?

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

I could multiply 12 inches by 3 (the number of feet in a yard)

to find the answer…

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

A 3B 12C 36D 108

Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?

A 3B 12C 36D 108

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

I need to draw a picture…

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

I need to draw a picture and label it with what I know…

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

All of the angles of a triangle add up to

180°.

90°

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

I can subtract 90° from 180° to see how many degrees are left for the other 2 angles to share.

90°

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

90°

18090-

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

90°

18090-90

There are 90° to share

between the other 2 angles.

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

90°

18090-90

… So the 2 angles I

choose should

add up to 90°.

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

… So the 2 angles I

choose should

add up to 90°.

Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

30 + 60 = 90°

I need to divide the numerator (top of

the fraction) by the denominator

(bottom of the fraction).

27 / 4 = 6 R3

If I write that as a mixed number, the

remainder is the numerator of the fraction and 4 is

the denominator.

27 / 4 = 6 R3

If I write that as a mixed number, the

remainder is the numerator of the fraction and 4 is

the denominator.

A factor is one of 2 numbers that can be evenly divided into a

number...

I will write out the list of factors for each

number and see what is the greatest factor

they have in common.

8: 1, 2, 4, 8

16: 1, 2, 4, 8, 16

8: 1, 2, 4, 8

16: 1, 2, 4, 8, 16

8: 1, 2, 4, 8

16: 1, 2, 4, 8, 16

In order to solve for n, I need to subtract 65 from

both sides of the equation, so n is by itself behind the equals sign.

-65 - 65

n = 310 - 65

-65 - 65

n = 310 - 65

n = 245

What is the perimeter of the rectangle shown below?

A 8 metersB 10 metersC 16 metersD 20 meters

What is the perimeter of the rectangle shown below?

A 8 metersB 10 metersC 16 metersD 20 meters

Perimeter is the sum of the sides. First I will label the

other 2 sides.

What is the perimeter of the rectangle shown below?

A 8 metersB 10 metersC 16 metersD 20 meters

Perimeter is the sum of the sides. First I will label the

other 2 sides.

8 m2 m

What is the perimeter of the rectangle shown below?

Then I will add up the sides.

8 m2 m

What is the perimeter of the rectangle shown below?

8 + 8 + 2 + 2 =

8 m2 m

What is the perimeter of the rectangle shown below?

8 + 8 + 2 + 2 = 20 m

8 m2 m

What is the perimeter of the rectangle shown below?

A 8 metersB 10 metersC 16 metersD 20 meters

What is the perimeter of the rectangle shown below?

A 8 metersB 10 metersC 16 metersD 20 meters

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

A 0.7B 0.07C 0.007D 7,000

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

A 0.7B 0.07C 0.007D 7,000

First, I’ll look for keywords in the

question.

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

A 0.7B 0.07C 0.007D 7,000

The T-H-S tells me the answer is a

decimal, so I can eliminate choice D!

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

A 0.7B 0.07C 0.007D 7,000

Now, I just need to know the number of

decimal places the answer

should have.

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

ones

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

onestenth

s

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

onestenth

s

hundredths

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

onestenth

s

hundredths

thousa

ndths

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

onestenth

s

hundredths

thousa

ndths

My answer should have 3 decimal places.

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

A 0.7B 0.07C 0.007D 7,000

Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?

A 0.7B 0.07C 0.007D 7,000

A quick way to solve this is to

cross multiply. If it is equal, then the fractions are

equivalent.

10 = 10

10 = 10

9 = 9

10 = 10

9 = 9

25 = 25

10 = 10

9 = 9

25 = 25

12 = 9

10 = 10

9 = 9

25 = 25

12 = 9

The table below shows some of the snack items sold at a football game.

What is the order of the items in the table from the least expensive to the most expensive?

A ice cream, chips, soda, hot dog, popcornB popcorn, hot dog, soda, chips, ice creamC ice cream, hot dog, chips, soda, popcornD popcorn, soda, chips, ice cream, hot dog

The table below shows some of the snack items sold at a football game.

What is the order of the items in the table from the least expensive to the most expensive?

A ice cream, chips, soda, hot dog, popcornB popcorn, hot dog, soda, chips, ice creamC ice cream, hot dog, chips, soda, popcornD popcorn, soda, chips, ice cream, hot dog

First I will number each of the snacks on the chart from least

to greatest.

The table below shows some of the snack items sold at a football game.

What is the order of the items in the table from the least expensive to the most expensive?

A ice cream, chips, soda, hot dog, popcornB popcorn, hot dog, soda, chips, ice creamC ice cream, hot dog, chips, soda, popcornD popcorn, soda, chips, ice cream, hot dog

First I will number each of the snacks on the chart from least

to greatest.

53214

The table below shows some of the snack items sold at a football game.

What is the order of the items in the table from the least expensive to the most expensive?

A ice cream, chips, soda, hot dog, popcornB popcorn, hot dog, soda, chips, ice creamC ice cream, hot dog, chips, soda, popcornD popcorn, soda, chips, ice cream, hot dog

Then I can look at the answers to see which are in the correct

order.

53214

The table below shows some of the snack items sold at a football game.

What is the order of the items in the table from the least expensive to the most expensive?

A ice cream, chips, soda, hot dog, popcornB popcorn, hot dog, soda, chips, ice creamC ice cream, hot dog, chips, soda, popcornD popcorn, soda, chips, ice cream, hot dog

Popcorn is most expensive, so I can eliminate B

and D right away.

53214

The table below shows some of the snack items sold at a football game.

What is the order of the items in the table from the least expensive to the most expensive?

A ice cream, chips, soda, hot dog, popcornB popcorn, hot dog, soda, chips, ice creamC ice cream, hot dog, chips, soda, popcornD popcorn, soda, chips, ice cream, hot dog

53214

The table below shows some of the snack items sold at a football game.

What is the order of the items in the table from the least expensive to the most expensive?

A ice cream, chips, soda, hot dog, popcornB popcorn, hot dog, soda, chips, ice creamC ice cream, hot dog, chips, soda, popcornD popcorn, soda, chips, ice cream, hot dog

53214

What is the value of the expression

4 + 16 ÷ 4 - 3 ?

A 2B 5C 11D 20

What is the value of the expression

4 + 16 ÷ 4 - 3 ?

A 2B 5C 11D 20

Remember your Order of Operations: Please Excuse My Dear Aunt Sally

(Parentheses, Exponents, Multiply, Divide, Add, Subtract)

What is the value of the expression

4 + 16 ÷ 4 - 3 ?

A 2B 5C 11D 20

In this number sentence, solve 16 ÷ 4 first.

What is the value of the expression

4 + 16 ÷ 4 - 3 ?

A 2B 5C 11D 20

Next, add 4 + 4 and then subtract 3.

4 + 4 - 3

What is the value of the expression

4 + 16 ÷ 4 - 3 ?

A 2B 5C 11D 20

4 + 4 - 3

What is the value of the expression

4 + 16 ÷ 4 - 3 ?

A 2B 5C 11D 20

Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?

A 5,500B 5,400C 5,300D 5,000

Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?

A 5,500B 5,400C 5,300D 5,000

Look for key words in the

question.

Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?

A 5,500B 5,400C 5,300D 5,000

Look at the choices and

underline the number in the

hundreds place.

Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?

A 5,500B 5,400C 5,300D 5,000

Look at the number to the right. Is it 5 or

more ? Or is it 4 or less?

5,342

Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?

A 5,500B 5,400C 5,300D 5,000

Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?

A 5,500B 5,400C 5,300D 5,000

The diagram below shows two skateboard ramps. The ramps are similar triangles.

Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?

The diagram below shows two skateboard ramps. The ramps are similar triangles.

Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?

First look at the corresponding sides of

each triangle.

The diagram below shows two skateboard ramps. The ramps are similar triangles.

Now make ratios for each corresponding side.

510

1224

1326

The diagram below shows two skateboard ramps. The ramps are similar triangles.

Reduce the fractions to lowest terms.

510

1224

1326

The diagram below shows two skateboard ramps. The ramps are similar triangles.

Reduce the fractions to lowest terms.

510

1224

1326

12

The diagram below shows two skateboard ramps. The ramps are similar triangles.

Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?

The diagram below shows two skateboard ramps. The ramps are similar triangles.

Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?

Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

1/5 is less than 1, so I

can eliminate B.

Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

1 1/5 is greater than 1, so I

can eliminate D.

Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

In choice C, they have

placed 1/5 half-way between 0 and 1. 1/5 does not equal ½.

Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

Tony has a ribbon that measures 0.75 meter in length. He cuts 0.125 meter off the ribbon and gives it to a friend. How much ribbon is left?

A 0.2 meterB 0.5 meterC 0.625 meterD 0.635 meter

Tony has a ribbon that measures 0.75 meter in length. He cuts 0.125 meter off the ribbon and gives it to a friend. How much ribbon is left?

Look for keywords and work it out on paper!

0.7500.125-

Tony has a ribbon that measures 0.75 meter in length. He cuts 0.125 meter off the ribbon and gives it to a friend. How much ribbon is left?

Make sure the decimal points line up!

0.7500.125-

104

5

Tony has a ribbon that measures 0.75 meter in length. He cuts 0.125 meter off the ribbon and gives it to a friend. How much ribbon is left?

Subtract carefully.

0.7500.125-

104

52

Tony has a ribbon that measures 0.75 meter in length. He cuts 0.125 meter off the ribbon and gives it to a friend. How much ribbon is left?

Is this answer one of the choices?

0.7500.125-

104

526.0

Tony has a ribbon that measures 0.75 meter in length. He cuts 0.125 meter off the ribbon and gives it to a friend. How much ribbon is left?

A 0.2 meterB 0.5 meterC 0.625 meterD 0.635 meter

Tony has a ribbon that measures 0.75 meter in length. He cuts 0.125 meter off the ribbon and gives it to a friend. How much ribbon is left?

A 0.2 meterB 0.5 meterC 0.625 meterD 0.635 meter