Grade 6 Beginning of Year Math Challenge!

Fractions

100

Name a fraction that is equivalent to 3/4

6/8, 9/12, 12/16...

200

Simplify: 18/24

3/4

300

Add: 2/3+1/6

5/6

400

Multiply: 3/5 x 10

6

500

A recipe requires 2 1/2 cups of flour. To make half a recipe, how much flour would you need?

1 1/4 cups

Geometry

100

What is the name of a polygon with 8 sides?

Octagon

200

How many degrees is a righ angle?

90

300

Find the perimeter of a rectangle with a length of 8 cm and a width of 5 cm

28 cm

400

Find the area of a rectangle with a length of 9 cm and a height of 4 cm

 36 square cm (cm²)

500

What is the volume of a rectangular prism measuring 4 by 3 by 2 units?

24 units cubed (units³)

Decimals

100

Write a fraction that represents 0.75

3/4 (or equivalent fractions)

200

Round 48.763 to the nearest tenth

48.8

300

12.4+3.87

16.27

400

Write 25% as a decimal

0.25

500

Complete the inequality:

0.57 ______ 0.507

0.57 > 0.507

Word Problems

100

A school has 240 students. Three Eighths of the students are in upper elementary. How many students are NOT in upper elementary?

160

200

Emma spent 30% of the 80 dollars she received for her birthday. How much does she have left?

$56

300

A water bottle holds 750mL of water. How many bottles are needed to hold 9 liters?

12 Bottles

400

A farmer has chickens and sheep. There are 52 heads and 148 legs. How many sheep are there?

22 Sheep

500

A friend shares $84 with 3 other friends in a ratio of 2:3:7. How much money does each friend receive?

$14, $21, $49

Challenge

100

What number is divisible by both 2 and 5?

Any multiple of 10

200

What is the least common multiple of 4 and 6

12

300

Find the missing number: 8 x _____ =72

9

400

give the next number in the pattern: 

2, 6, 18, 54, ___

162

500

I am a number

I am divisible by 3

I am greater than 50

I am the Least Common Multiple of 7 and 9

My digits add to 9

What number am I

63

Preview (Grade 6 Math)

100

This year you will work with Numbers both Negative and Positive. So:

What do you call the set of numbers that includes all negative and positive whole numbers?

Integers

200

This year you will use algebra to solve for letters in a math problem such as this one:

x+7=14

What do you call a letter that represents an unknown number?

A variable

300

Last year you studied area and perimeter of quadrilaterals. This year you will do the same for triangles. So: 

What is the Area of a Triangle with a base of 8 cm and a height of 5 cm?

 20 cm²

400

This year you will continue working on a coordinate plan. So:

What quadrant is the coordinate pair (-3,4) in?

1, 2, 3, or 4

Quadrant 2

500

A number is multiplied by 4, and then 12 is subtracted. the final number is 28. What number did I start with?

10