Algebra
Geometry
Number
Rates and Ratio
Problems
100

2x + 5x = 

7x

100

Vertically opposite angles are ...


equal

100

What is 1.5% as a fraction? (Simplified) 

3/200

100

Complete the following equivalent ratio: 

20:12 = ?:3

5

100

What is the radius of a circle with an area of 141cm2, correct to 1 decimal place?

6.7

200

Evaluate the following expression given that a=6, b=4, and c=7: 

3c+5a-ab

27

200

The angle sum of a triangle is 

180

200

What is 12/25 as a percentage? 

48%

200

The ratio of cows to sheep on a farm is 3:8. If there are 240 cows on the farm, how many sheep are there? 

640

200

A triangle has sides 8,15 and 17.

Classify this triangle in terms of its side and angles.

Right-angled scalene

300

Expand the bracket: 

-7(3x-2) 

-21x+14

300

A quadrilateral with exactly one pair of parallel sides is...

trapezium

300

A $45 shirt is discounted by 40%. What is the sale price of the shirt? 

$27

300

The ratio of length to width of a rectangle is 6:5. If the perimeter is 66cm, how many centimeters is the width of the rectangle? 

30cm

300

The cost of a shirt is $73.70 inclusive of GST.

What is the price of the shirt wihout GST?

67

400

Solve: 

c + 2=-14 - c

-8

400

Cointerior angles in parallel lines are...

supplementary

400

A nature reserve has an area of 57,000km^2. Its area is increased by 35%. What is its new area? 

76,950km^2

400

Simplify the ratio: 

3/5 : 2/6

9:5

400

Emma planted sunflowers in the community garden. During her last visit to the garden, the plants were 80 inches tall. Today they are 92 inches tall. What is the percent of increase in the height of the sunflowers?

15%

500

Solve:

7(x-5)=3(x+3)

x=11

500

What quadrilateral am I?

I have two pairs of adjacent sides that are equal. One diagonal is a perpendicular bisector of the other diagonal.

Kite

500

Michelle paid $153 after receiving a discount of 15% on a new pair of headphones. How much did the headphones cost before the discount? 

$180

500

A sprinter is running at 10m/sec.

What is their speed in km/hr? 

36km/hr

500

$90 is increased by 9% then decreased by 9% then increased by 10%. What is it worth now? (2 decimal places)

98.20

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