Numbers and Operations
How would you find the difference between 67 and 23?
Subtract: 67 - 23 = 44
What is 7% as a decimal?
0.07
Simplify:
2(x - 3) + 3x + 1
2x - 6 + 3x + 1
=5x - 5
A circle has a diameter of 10 metres.
What is its radius?
5 metres
What is 70 ?
1
(anything with an exponent of zero = 1)
In the following, what operation would you do first?
8 - 4 + 3
Subtract: 8 - 4
8 - 4 + 3
= 4 + 3
= 7)
What steps do we use to solve division with fractions? For example: 1/3 ÷ 1/6
"Kiss and flip" or "Keep-kiss-flip"
1/3 ÷ 1/6 = 1/3 x 6/1
= 6/3
= 2
Tom has $5 more than Mary.
If Mary has x dollars, how much does Tom have?
x + 5
The perimeter of a shape is 250 cm.
How many metres is that?
2.5 metres
What is 7.2 x 104 in standard notation?
72 000
(seventy-two thousand)
What is 5 + 4 x 2 ?
13
(5 + 4 x 2 = 5 + 8)
How would you solve the following:
Suzanne got 75% on a test. She got 24 answers correct. How many questions were there?
75% / 100% = 24 / ?
There were 32 questions in total.
What does x > -3 mean?
x is greater than -3
An angle is 53 degrees.
What is its supplement?
127 degrees.
(180 - 53 = 127)
What is the approximate value of √ 18 ?
(the square root of 18)
between 4 and 5
John has $7, Mary has $8, and Tom has $20.
How much more does Tom have than John and Mary combined?
20 - (8 + 7) = 20 - 15 = 5
If you invest $200 in a savings bonds that pays 4% annually, how much interest will you earn after 1 year?
(Interest = Principal x Rate x Time)
$8
(Interest = 200 x 0.04 x 1)
What's the formula for finding the slope of a line?
"Rise over run"
OR (y2 - y1) / (x2 - x1)
A quadrilateral has four sides the same length, and no right angles. What is the name of the shape?
Rhombus
What is the median of these numbers:
70, 80, 84, 70, 68, 90
75
(median is the middle:
68, 70, 70, 80, 84, 90 - so halfway between 70 and 80)
What is three thousand nine hundred fifteen (3 915) rounded to the nearest ten thousand?
(Watch out - it's tricky!)
0
(3915 is closer to 0 than to 10 000)
Half of a group of people have pets. Of those, three quarters have a dog.
What fraction of the people have a dog?
Three eighths (3/8)
3/4 of half = 3/4 x 1/2
½ x ¾ = 3/8
What is the y-intercept of the line
y = -2x - 3
-3
or (0,-3)
A triangle has one angle measuring 50 degrees and one angle measuring 40 degrees.
What kind of triangle is it?
RIGHT and SCALENE
What is the next number in the sequence
1, 4, 9, 16, 25 ... ?
36
(squares of numbers
OR +3, +5, +7, +9, +11)