Ratios, rates and percentages
What is 2% as a decimal?
a) 0.2
b) 2
c) 0.02
d) 0.002
c) 0.02
Solve for x:
24 = x + 15
24 (-15) = x + 15 (-15)
x = 9
Check: 9+ 15 = 24
If a×b=2, b×c=24, c×a=3 and a, b and c are all positive, what is the value of a+b+c?
10.5
The name Matilda is written like this:
MatildaMatildaMatildaMatilda...
What is the 1000th letter?
d
If Hugo watches 2 movies every month, how many movies would he watch in a year?
2 movies x 12 months = 24
Therefore Hugo watches 24 movies a year
Solve the equation
(x−2013)(x−2012)−(x−2012)(x−2011)=0.
2012
If the measurement of one of the angles in a right triangle is 40 degrees, what is the measurement of the other angle?
Sum of all angles in a triangle is 180 so:
180-90-40 = 50
Therefore the last angle is 50 degrees.
If there are 2.2 pounds in a kilogram, how much does a 20 kilogram brick weigh in pounds?
1 kg = 2.2 lbs.
x20
20 kg = 44 lb
Therefore the brick weighs 44 lbs.
What is the percentage of months in the year that start with the letter J?
3 (January, June, July) out of 12 months is one quarter of all the months or 25%
Therefore 25% of the months start with the letter J.
If a car is driving at 20 km / hr, what would be the algebraic expression for its speed in relation to the distance travelled? (Let T represent time and D represent distance)
a) T = 20D
b) D = 20T
c) D = 20 - T
d) T = 20 + D
b) D = 20T
Bonus (for 100): How far did the car travel in 3 hours?
D = 20T
D = 20(3)
D = 60
Therefore the car travelled 60 km.
The product of Mary's age in years on her last birthday and her age now in complete months is 1800.
How old was Mary on her last birthday?
12
Paul is 32 years old.
In ten years' time, Paul's age will be the sum of the ages of his three sons.
What do his sons' ages add up to now?
12
If student A is working a part time job that pays $15 an hour and gets a raise of 2% every year, what would be their hourly pay after working for 4 years?
2% of $15 is 0.3 or 30 cents
so after 3 years: 0.3 x 4 = $1.20
15.00 + 1.20 = 16.2
Therefore, the hourly rate would be $16.20.
Solve for x:
2x + 22 = 8
2x + 22 = 8
2x + 4 = 8
2x + 4 (-4) = 8 (-4)
2x (÷2) = 4 (÷2)
x = 2
What are the side lengths of a cube if the volume is 64 cm3?
Volume = L x W x H (L = W = H)
64 = L x W x H
64 = 4 x 4 x 4 (or cube root of 64)
Therefore the side lengths are 4cm.
If 0 in binary number is 0, and 1 in binary number is 1, what is the binary number for 2?
The binary number would be 10.
What is the ratio of total students to right-handed students based on this information:
- total students:30
- 10% of students are left-handed
10% of 30 is 3 so 3 students are left handed.
Therefore the ratio of total students to right-handed students is 30:3 or 30 to 3.
Baldrick can afford to buy either 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips.
Both options leave him with no change.
If he only bought turnips, how many could he afford?
16
How many integers n exist such that the difference between √n and 10 is less that 1?
39
Find four integers whose sum is 400 such that the first integer is equal to twice the second integer, three times the third integer and four times the fourth integer.
192, 96, 64 and 48