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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