Explain
Explain what is an integer and provide an example
An integer is a whole number that can be positive, negative or zero, e.g. 1
Explain what is a cartesian plane and plot (1, 4)
Mathematical term to describe a grid for graphing coordinates.
Explain what is like terms and provide an example
Same variables with the same power. Coefficient does not matter
Convert 0.6 into fraction
60/100 = 6/10 = 3/5
Solve 19 - - 5 + 6 - 3
27
Explain what a prime and composite number are
A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself.
A composite number is a positive whole number greater than 1 that can be divided evenly by numbers other than just 1 and itself.
Explain the difference between improper and mixed fractions
An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
A mixed fraction (or mixed number) is a combination of a whole number and a proper fraction
Explain inverse operations and provide 4 examples.
Inverse operations are mathematical pairs that reverse or "undo" the effects of one another
Convert 0.70 into percentage
0.7 x 100 = 70%
Convert 20/50 into decimal
20/50 = 40/100 = 0.4
Explain the difference between constant, coefficient and pronumeral. Provide an example.
A constant refers to something that stays the same.
A coefficient is a numerical or constant factor that is multiplied by a pronumeral
A pronumeral is a letter or symbol used in algebra as a placeholder to represent an unknown number
Explain what is an equivalent fraction and provide an example.
Equivalent fractions are different fractions that represent the exact same value or proportion
45 is 3 times greater than x
3x=45
Simplify 4y + 10x - 2y + 2ab
2y + 10x + 2ab
Round 9.436 to one decimal place
9.4
Explain greater than or lesser than with symbols
10>3
2<6
Crocodiles mouth eats the bigger number
Explain the difference between terminating, recurring and non-recurring numbers. Provide an example for each.
A terminating number is a decimal number that has a finite number of digits after the decimal point, meaning it eventually stops.
A recurring number is a number whose digits repeat uniformly and infinitely after the decimal point.
A non-recurring number is an infinite number whose decimal digits do not repeat in a predictable, periodic pattern.
Use correct algebraic notation a + (b x 5) x (c x 4)
a + 20bc
Use correct algebraic notation 5 + f x g
Solve 7/15 + 3/5 - 2/10
13/15
Explain equivalent fractions and provide an example
Equivalent fractions are different fractions that represent the exact same value or proportion.
Explain the difference between the highest and lowest common denominators.
Highest common denominator is the largest positive integer that divides two or more numbers evenly without leaving a remainder
18: 1 x 18 | 2 x 9 | 3 x 6
24: 1 x 24 | 2 x 12 | 3 x 8| 4 x 6
Lowest common denominator is the smallest number that can serve as a common denominator for a set of fractions.
Simplify 35/49
5/7
Simplify 9pr - 4q + 6q - 6rq + 3q
5q + 3qr
Complete a factor tree starting from 60
Example. 60 - 15 and 4 - 3 and 5 - 2 and 2