FRACTIONS
ALGEBRA
GEOMETRY
INTEGERS
RATIOS & PROPORTIONS
100

A recipe calls for 3/4 cup of sugar, but you only want to make half the recipe.
How much sugar do you need?

Half of 3/4 is:


3/4×1/2=3/8

 
Answer: 3/8 cup

100

Solve for x:


4x + 7 = 23

4X = 23-7

4X = 16 

X = 16 / 4

X= 4

100

A rectangle has a length of 10 cm and a width of 6 cm.
What is the area of the rectangle? 

HINT: AREA = LENGTH X WIDTH

10 cm x 6 cm = 60 cm2

100

The temperature was 12°C in the afternoon, then dropped by 18°C at night.
What is the temperature at night?

12 c - 18 c = -6 degrees Celsius

100

If 3 notebooks cost $6, how much would 5 notebooks cost at the same rate?

If 3 notebooks cost $6, then 1 notebook costs $2.
So 5 notebooks cost 5×2=10


Answer: $10

200

2/3 + 1/6 = ? 

Common Denominator is 6: 

4/6 + 1/6 = 5/6 

answer: 5/6

200

x + 9 = 17

what is x? 

17 - 9 = 8 

answer: x=8

200

Find the perimeter of a square with side length 7cm.

Hint: Perimeter is adding all sides of the square


Perimeter= 7 x 4 

answer: 28 cm 

200

-7 + 12 = ?

answer: 5

200

If 4 apples cost $8, how much do 7 apples cost? 

4 apples = $8 

1 apple = $2 

7 x $2 = $14

answer: $14

300

5/8 - 3/8 = ? 

answer: 2/8 or 1/4

300

5x = 35 

what is x? 

35 divided by 5

answer: x=7

300

A triangle has a base of 8 cm and a height of 5 cm. What is the area? 

Hint: Area of a Triangle = 1/2 x base x height

A = 1/2 x 8 x 5 

A = 40 / 2 

A = 20 cm2 

300

-15 -6 = ?

answer: -21 

300
A car travels 120 miles in 2 hours. How far will it trave in 5 hours at the same speed? 

120 miles in 2 hours is 60 mph

60 mph x 5 hrs = 300 

answer: 300 miles

400

A pizza is cut into 12 slices. You eat 1/3 of it. How many slices did you eat? 

1/3 of 12 slices 

12 divided by 3 

answer: 4 slices

400

2x - 4 = 10 

find x

2x - 4 = 10 

2x = 10 + 4 

2x = 14 

x = 14/2

x = 7

400

A rectangle has length of 12 cm and width of 4 cm. What is the perimeter? 

Hint: Add all sides 

12 (2) + 4 (2) = Perimeter 

24 + 8 = 32

Perimeter = 32 

400

9 - (-4) = ?

answer: 13

400

The ratio to boys to girls in a class is 3:5

If there are 15 boys, how many girls are there? 

3:5 

boys:girls 

15 boys (3 x 5 = 15) 

5 x 5 = 25 girls 

answer: 25 girls

500

3/5 x 2/3 = ? 

answer: 6/15 = 2/5

500

3x + 2 = 20 

find x

3x + 2 = 20 

3x = 20 - 2 

3x = 18

x = 18/3

x = 6

500

Find the Area of a square with a width of 6 cm. 

Area = length x width 

6cm x 6cm = 36 cm2

500

A submarine is at -50 meters and rises 30 meters. What is its new position? 

answer: -50 + 30 = -20 meters

500

If 6 pencils weigh 30 grams, how much do 10 pencils weigh? 

6 pencils - 30 grams 

1 pencil = 5 grams each

10 pencils x 5 grams = 50 grams