PERCENTAGE
RATIO
TIME
CHALLENGE 1
CHALLENGE 2
100
Convert 5/8 to percentage
62.5%
100
Simplify 21:56
3:8
100
A train leaves zurich at 22 40 and arrives in Vienna at 0732 the next day. Work out the time taken!
ANSWER: 8 hours
100
The angles of the triangle are in the ratio of 1:2:3, then the angles are equal to
30°, 90°, 60°
100
The ratio 2:4 equivalent to
50%
200
20 out of 100 points on a test were missed. What percent was earned?
80%
200
In a class, there are 20 boys and 40 girls. Find the ratio of boys to girls.
20 : 40
Simplify: 4:8
200
A boy takes 20 minutes to reach the school at an average speed of 12 km/hour. If he wants to reach the school in 15 minutes, his average speed (in km/hour) will be
16km/h
200
Ramya and Divya ate 12 of the 16 apples that they purchased. What percent of apples did they eat?
75%
200
If it takes 3 hours to drive a distance of 192km on a motorway, what would be your average speed in km/h?
Speed = Distance/Time
Speed = 192/3 = 64
So average speed is 64km per hour.
300
Book A has 650 pages and Book B has 550 pages. Leo reads 32% of Book A. Jane reads 40% of Book B. Who reads the most pages? Show your complete solutions.
Jane
Leo = 32/100 x 650 = 208
Jane = 40/100 x 550 = 220
300
Jordan and Jasper share $785 in the ratio. Jordan: Jasper = 3:2 Work out Jordan's and Jasper's Share
785 / 5 = 157
157 x 3 = 471
Jordan - 471
157 x 2 = 314
Jasper - 314
300
On Monday a painter spent 6 h 20 min to paint a building. On Tuesday the painter spent 4 h 45 min to finish painting the building. How long did the painter spend painting the building?
6h + 4h = 10h
20min + 45min = 65 minutes
11h and 5 mins
300
If a:b be the ratio, then the percentage is written as
(a/b) × 100
300
The ages of two friends are in the ratio 2:1. If the sum of their ages is 51 then their ages are
Ages in the ratio 2:1.
2x+x=51
3x=51
x=17 years.
34 years and 17 years.
400
A coat is bought originally for £40, but then later sold at a car boot sale for £15. What is the percentage loss?
40 - 15 = 25
25/40 = 62.5/100 (multiply by 2.5) = 62.5% loss
400
Hans draws a plan of a field using a scale of 1cm to represent 15m. The actual area of the field is 10 8 00m2. Calculate the area of the field on the plan.
1cm=15 metres (already in the question) 1cm^2=225m^2 (Square the equation since it is area, to make the unit m^2) We have to find the area of field on plan so 10800/225= 48 cm^2
400
if x men working x hours per day can do x units of a work in x days, then y men working y hours per day would be able to complete how many units of work in y days ?
y^3/ x^2
400
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
45 5/11 %
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 110 - (60)
= 50.
400
Q7.A, B, and C can do a piece of work in 8 days. B and C together do it in 24 days. B alone can do it in 40 days. In what time will it be done by C working alone?
Explanation:B & C do this work in 24 days. B alone does this work in 40 days. C alone will take 1/24 – 1/40 = 2/120=1/60 ⇒ 60 days to finish the work.
500
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Number of students above 8 years of age = (100 - 20)% of x = 80 of x.
80% of x = 48 + 2/3 of 48
80/100x = 80
x = 100
500
Question: In a bag, there are a certain number of toy-blocks with alphabets A, B, C and D written on them. The ratio of blocks A:B:C:D is in the ratio 4:7:3:1. If the number of ‘A’ blocks is 50 more than the number of ‘C’ blocks, what is the number of ‘B’ blocks?
Solution: Let the number of the blocks A,B,C,D be 4x, 7x, 3x and 1x r
espectively 4x = 3x + 50 → x = 50.
So the number of ‘B’ blocks is 7*50 = 350.
500
Ajay and Vijay undertake to do a piece of work for Rs. 480. Ajay alone can do it in 75 days while Vijay alone can do it in 40 days. With the help of Pradeep, they finish the work in 25 days. How much should Pradeep get for his work?
In 24 days, they would have done 1/3 and 5/8 of the work. The remaining work is 1 – (1/3 + 5/8) = 1/24. This means Pradeep has done 1/24th of the work, so he should be paid 1/24th of the amount i.e. 480 × 1/24 = Rs. 20 is the answer.
500
4 schools sent students to a language course. One of the schools sent both French and German students. The ratio of French to German students it sent was 1 : 3. The school sent 21 German students. The other 3 schools sent the same number of students. Work out the total number of students sent to the language course.
500
The aspect ratio of a tv screen is the ratio of the measure of the horizontal length to the measure of the vertical length. Find the horizontal length and vertical height of a tv screen with an aspect ratio of 4:3 and a diagonal of 50 inches.
Let H be the horizontal length and V be the vertical height of the tv. Their ratio is given. Hence
H / V = 4 / 3 or use cross product to obtain: 3 H = 4 V
The relationship between the horizontal length, the vertical height and the diagonal is given by Pythagoras theorem as follows:
H 2 + V 2 = 50 2
We now solve the system of equations
3 H = 4 V and H 2 + V 2 = 50 2
to obtain
H = 40 inches and V = 30 inches