Smart Math
December 2, 2011 | 
Author Here’s and example of a SMART MATH problem for ALGEBRA.
Problem
If x = 3 and 
- –5
- –1
- 0
- 5
- 9
Here’s and example of a SMART MATH problem for ALGEBRA.
Problem
If Mira was twice as heavy as she is, she would be 10 lbs lighter than her mother; if she were to lose 10 lbs, she would be 75% of her present weight. How much does Mira’s mother weigh?
- 60 lbs
- 70 lbs
- 80 lbs
- 90 lbs
- 100 lbs
Here’s and example of a SMART MATH problem for RATIO PROPORTION.
Problem
A fort has a provision for 900 men for 40 days. After 20 days, 300 men join them. For how many days more will the provision last for?
- 5 days
- 10 days
- 15 days
- 20 days
- 25 days
Posted in Ratio Proportion, Smart Math | 
Tags: Math Tricks, Mental Math, Ratio Proportion, Smart Math | 
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Here’s and example of a SMART MATH problem for GEOMETRY.
Problem
A certain pole casts a shadow 24 feet long. At the same time another 3 feet high casts a shadow 4 feet long. How high is the first pole given that the heights and shadows are in proportion?
18 feet
19 feet
20 feet
21 feet
22 feet
The Usual Method
Let the height of the pole whose shadow is 24 feet long be ‘x’ feet high.
Since both the length of the poles and its shadow are in proportion, than:
(Ans: 1)
Estimated Time to arrive at the answer = 30 seconds.
Using Technique
Since height of pole and its shadow are in proportion, we notice that for a pole of 3 feet height, the shadow is 4 feet long. Thus by reducing ¼th (25%) of the length of the shadow, we can get the length of the pole. Thus by doing a 25% reduction on the length of 24 feet long shadow, we can get the height of the pole that casts this shadow.
25% reduction on 24 feet is 24 – 6 = 18 feet.
(Ans: 1)
Estimated Time to arrive at the answer = 15 seconds.
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Here’s and example of a SMART MATH problem for ALGEBRA.
Problem
In a school in which 40% of the enrolled students are boys, 80% of the boys are present on a certain day. If 1152 boys are present, the total school enrollment is _______.
- 1440
- 2880
- 3600
- 5400
- 5760
Here’s and example of a SMART MATH problem for RATIO PROPORTION.
Problem
An officer divided his 35 hour work week as follows:
The rest of his time is spent in messenger work.
What is the percent time spent on messenger work?
- 6%
- 10%
- 12%
- 16%
- 21%
Posted in Ratio Proportion, Smart Math | Tags: Math Tricks, Mental Math, Ratio Proportion, Smart Math | No Comments »
Here’s and example of a SMART MATH problem for RATIO PROPORTION.
Problem
Three types of tea each worth $6.00 / lb, $7.50 / lb and $x / lb are mixed in proportion of 1 : 2 : 3 to form a mixture worth $8.50 / lb. What is the value of x in $ / lb?
- 7.00
- 7.50
- 8.00
- 8.50
- 10.00
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Here’s and example of a SMART MATH problem for RATIO PROPORTION.
Problem
What is two fifth of one tenth of three eight of nine eleventh?
- 1
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Here’s and example of a SMART MATH problem for RATIO PROPORTION.
Problem
In equal amounts of time three professors are able to solve problems in the ratio of 1.5 : 2.5 : 3.5. If the professor with the least capability can solve 6 problems in 2 hours, how many problems will the professor with highest ability solve in 3 hours? Assume that they solve problems with uniform speed.
- 9
- 10
- 15
- 21
- 24
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Here’s and example of a SMART MATH problem for TIME SPEED DISTANCE.
Problem
Mira rowed upstream in a stream flowing at the rate of 1.5 km/hr to a certain point and then rowed back stopping 2 kms short of the place where she originally started. If the rowing time was 2 hours 20 minutes and her uniform speed in still water was 4.5 km/hr, how far upstream did she go?
- 4.25 kms
- 5.33 kms
- 6.50 kms
- 7.00 kms
- 8.75 kms
Posted in Smart Math, Time Speed Distance | Tags: Math Tricks, Mental Math, Smart Math, Time Speed Distance | No Comments »