Number
Thinking=Without using a calculator, determine which number is greater. √50 or 7.
√50
Knowledge=Simplify:3x+5x-2
8x-2
Knowledge=What is the sum of the interior angles of a triangle?
180°
Knowledge=What is the mean of the following numbers? 4,6,8,12
7.5
Knowledge=What is the formula for simple interest?
I=Prt
Knowledge=Write 0.375 as a fraction in simplest form.
3/8
Application=A taxi charges $4 starting fee plus $2 per kilometre. How much does a 10km trip cost?
$24
Thinking=Which is larger:the area of a square with side 5cm or a rectangle with length 6cm and width 4cm? Explain your reasoning.
The square is larger because its area is 25cm^2, which is greater than the rectangle's area of 24cm^2.
Application=A survey shows 12 out of 20 students prefer pizza. What percentage is this?
60%
Communication=In words, describe how you would calculate a 20% discount.
To calculate a 20% discount, find 20% of the original price and subtract that amount from the original price.
Application=Which is a better deal?
Option A:25% off $80
Option B:$20 off $80
Both deals are the same.
Thinking=A student simplifies 2(x+5) as 2x+5. Explain the mistake and correct it.
The mistake is that the student did not apply the distributive property to both terms inside the brackets.
2x+10
Application=A rectangle has length 8cm and width 5cm. Find its area and perimeter.
Area:40cm^2, Perimeter:26cm
Communication=Explain what it means if two variables show a positive relationship.
A positive relationship means that as one variable increases, the other variable also increases.
Thinking=Two bank accounts offer different interest rates:
Account A:2% simple interest
Account B:2% compound interest
Which is better long-term? Explain why.
Account B is better long-term because compound interest earns interest on both the original amount and previously earned interest, so the money grows faster over time.
Communication=Write a clear explanation of why 0.8 is equal to 4/5.
0.8 is equal to 4/5 because 0.8 can be written as 8/10 and simplified to 4/5.
Communication=Explain the mistake in saying x^2+x^2=x^4.
The mistake is that the student is confusing addition with multiplication of exponents; x^2+x^2 means adding like terms, so the correct answer is 2x^2, not x^4.
Communication=In your own words, explain what surface area means.
Surface area is the total area of all the outside faces of a 3D shape combined.
Thinking=Why might median be more useful than mean for housing prices?
Median is more useful than mean for housing prices because very expensive houses(outliers) can make the mean misleading, while the median better represents a typical home price.
Application=A bank account has $1000 and earns 5% compound interest for one year. How much money will be in the account after one year?
$1050