Pattern
2, 4, 6, _
Fill in the blank
8
What is 50% of 200
100
What is the name of the diagonal in a right angle triangle?
Hypoteneuse/Hypotenusa
3x +14 = 23
x=3
There are 4 red balls and 6 black balls in a bowl. What is the chance you get black balls? Answer in simplest form.
3/5
13, 26, 39, _
Fill in the blank
52
146
A cube has the measurements 5cm on all edges. What is the surface area of the cube?
150cm2
9x + 4 = 2x + 11
x = 1
Write the expression for this pattern
2n - 1
A burger went from costing 20kr to 30kr. What is the change in percent points?
50% point increase
A cylinder has a diameter of 12mm, and a height of 24cm. What is the volume of the cylinder?
Tip: Pi=3.14
2712.96mm3
2x + 5y + 2 = 15 - 7x
Simplify
2x + 12y = 13
2, 4, 8, 14
Write the quadratic pattern's expression
n2 - n + 1
The price of a pair of shoes is 5000kr. From last year, it increased by 12.5%. What was the original price?
4444.44 repeating
A sphere has a diameter of 6dm. What is the volume of the sphere? Answer in Litres.
Tip: V= (4 x 3.14 x r3) / 3
113.04L
On Petter's farm, there are pigs and chickens. Petter and his animals alltogether are 18 animals and collectively have 60 legs. How many of each animal is there?
12 pigs
5 chickens
1 Petter
In a fruitbowl, there are 12 apples and 16 bananas. What is the chance that you nab 2 bananas in a row?
20/63
solve this cubic pattern
1, 9, 21, 43
Hint: An3 + Bn2 + Cn + D is the format
To find A, divide the final difference by 6
To find Bn2, do quadratic pattern
n3 - 4n2 + 13n - 9
(I'm sorry)
2 years ago, a house was valued at 1 400 000kr. Now, it is valued at 2 100 000kr. The price changed an equal amount both years. What was the yearly percent change?
≈1.2247
2100000 / 1400000 = 1.5
√1.5≈1.2247
Simplify as much as possible
3(2x + 2)(5x - 12)
3(2x + 2)(5x - 12)
= (6x + 6)(5x - 12)
= 30x2 + 30x - 72x -72
= 30x2 - 42x - 72
You have 5 different types of burger toppings which you can mix as you want. You only have enough of each topping to use it once. The burger will only fit 3 topping total. How many combinations can you make?
5 x 4 x 3 = 60
60 / 3! = 10
Tip: ! = factorial
Answer = 10 combinations