Exponents
Rewrite using just one base:
43 x 42
45
What is the value of y when x is 3?
y = 12x
36
No calculator. Turn 2/7 into a decimal. Round to 3 decimal places
0.286
3.1 hectares is equivalent to how many square meters?
31000 meters squared
No calculator: 0.8/0.02
40
Simplify:
3 x 3 x 3 + 4 x 4 x 4 x 4 x 4
33 + 45
What is the value of the equation when x = 4 and y = 6.
-5x + 3y
-2
Dividing a whole number by a decimal (less than one) makes the original number larger or smaller?
larger
A bottle of medicine is 0.25 litres. The instructions say "Take two 5ml spoonfuls 3 times a day". How many days will a full bottle last?
Between 16 and 17
No calculator: 0.06 x 2.5
.15
Write as a power of 2:
1/16
2-4
A sequence is generated using the equation 2(n - 1) + 3, where n is the term number. What is the 21st term?
43
No calculators: 6/7 x 5/9 in simplest terms
10/21
Dave wants to put a row of tiles in his kitchen. The row has to be 3 m long. Each tile is a square, with 25 cm sides. How many tiles does he need?
12
No calculator: 2.3 x 10-3
.0023
Write as 1 power of 2:
(23 x 25)/24
24
A sequence was generated using 2n2 + 3n + 1, where n is the term number. What are the first 3 terms of the sequence?
6, 15, 28
Keith is a plumber. He has a 5 m length of pipe. He cuts off 2 pieces. The first piece is 2 and 1/4 m long, the second is 1 and 2/5 m long. How long is the piece that is left?
1.35 meters
A 250 g jar of coffee costs $6.75. A 100 g jar of the same coffee costs $2.68. Which one is a better value?
100 g jar
Write an equation for the general term of the following sequence: 2, 10, 18, 26...
8n - 6
What value of n makes the statement true:
24 x 2n = 2
-3
A sequence was generated using 5n + 3, where n is the term number. Is 77 part of this sequence?
No, 78 is. It's the 15th term.
The guests at party eat 5/8 of a cake. Sam eats 1/4 of what is left. What fraction of the cake does Sam eat?
3/32
Henri plans to sell cups of coffee at a sporting event. He has a hot water container that holds 16 litres. He needs about 200 ml of hot water for each cup of coffee. If he plans on selling around 250 cups of coffee, how many full containers of hot water will he need?
3 full containers and a bit more
Will a regular polygon with an interior angle of 135 degrees tessellate? Why or why not?
No, 135 does not divide evenly into 360.