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Square Roots
Fractions
Rates and Ratios
Percents
Integers & BEDMAS
100
This is the result of square root 25 and square root 100 added together.
What is 15? sqrt 25 = 5, sqrt 100 = 10, so 5+10 = 15.
100
This is the improper fraction form of 5.25.
What is 21/4?
100
"Nine is to forty" as "eighteen is to THIS".
What is 80? 9:40 = 18:80 (doubled)
100
If you want to calculate the price INCLUDING the GST, multiply by this.
What is 1.05? *multiplying by ONE-decimal-anything will give a larger result.
100
This is the result of (-5)(-5)(-2) + (-2)(-5).
What is -40? (-50) + (+10) = -40.
200
This is the area when the sides of a square are all 15m.
What is 225 meters squared?
200
This is the lowest terms form of 196/24.
What is 8 and 1/6?
200
5:7:12 = X:Y:48, X and Y are these.
What are 20 and 28?
200
If you want to calculate the price including a 30% discount, multiply by this.
What is 0.70? *multiplying by "zero"-decimal-anything will give you a smaller result. Remember 30% off then 70% on.
200
This is the result of 8 + [(5)(-6)/2] - 8.
What is -15? 8 + [-30/2] - 8 = 8 + [-15] - 8 = -15
300
When the perimeter of a square is 32, this is the area.
What is 64 meters squared? P = 32, so each side must be 8. 8x8 square is 64 inside.
300
This is the sum IN LOWEST TERMS of (3 and 3/5) + (5 and 2/3).
What is nine and four-fifteenths?
300
If you can get 2L of pop for $1.89, you should get 10L of pop for this price.
What is $9.45? 2L = $1.89, then 10L = $9.45 since x5.
300
This is the percent decrease if Tyson doesn't study for his unit test and his marks drop from 85% to 65% (it's NOT 20%).
What is 23.5% or 24% decrease? Subtract the start - end values: 85 - 65 = 20 drop. Take the 20 compared to the start: 20/85 = 0.2352... Make the decimal into a percent: 23.5%
300
Watch the brackets carefully when you get the result of this: 5 { 3 + [ (-4)(-7) - 10 ] }
What is 105? 5(3+(28-10)) = 5(3+(18)) = 5(21) = 105
400
The short sides of a right-triangle are 4.2 cm and 8.5 cm, so this is the hypotenuse length rounded to the nearest TENTH.
What is 9.5 cm? Pythagoras: 4.2 ^ 2 + 8.5 ^ 2 = 89.89, then sqrt 89.89 = 9.4810... so 9.5 cm with rounding.
400
This is the result IN LOWEST TERMS when you multiply three and one-seventh by 8.
What is twenty five and one-seventh?
400
If it takes Miss Hillman 3 hours to drive 275 km, this is her unit rate of speed in kilometers per MINUTE (rounded to tenths).
What is 1.5 km per minute? 275 km in 3 hours = 275 km in 180 minutes, so X km in 1 minute by cross multiply and divide
400
This is how much you pay for two $49 sweaters in Manitoba where HST is 12.5%.
What is $110.25? 49 x 2 x 1.125
400
Never be fooled by these two answers: (-8) squared and -8 squared.
What are 64 and -64? (in order) (-8)squared means (-8)x(-8) = +64 VERSUS -8 squared means -8x8 = -64.
500
This is the length of the diagonal of a square whose area is 150 square centimeters (rounding to tenths).
What is 17.3 cm? (Accept 17.2 or 17.4) square root 150 = 12.2 edges of the square. A right ISOSCELES triangle is formed with diagonal as hypotenuse. Pythagoras: 12.2^2 + 12.2^2 = 300, then sqrt 300 = 17.3
500
This is the result of (5/6) x (9/10) divided by 8.
What is 3/32?
500
In the relationship 12 : 9 : X : 21 = 10 : 7.5 : 25 : Y, X and Y are these.
What are 30 and 17.5? Use cross multiply and divide any two pairs of numbers: 9/7.5 = X/25 and 12/10 = 21/Y
500
This is how much you pay for 5 Big Mac meals ($6.99) in Halifax where PST is 8.5% and you have a 10% off coupon for McDonalds.
What is $35.70? 5 x 6.99 x 1.135 x 0.90
500
In our card game, two equal red cards and a black card have a product of -16, none of them are tens. These are the card identies.
What is two red FOURS and a black ACE? (+4)(+4) two equal red cards, multiply = +16. (-1) black card, multiplies = -16.