Smart Math

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

How many integer solutions exists for the equation \left| y-\sqrt{(y+2)^{2}-9} \right|=5?

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 3.0/10 (1 vote cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

Simplify \frac{\sqrt{11+4\sqrt{7}}+\sqrt{8+\sqrt{64}}}{\sqrt{11-4\sqrt{6}}}

  1. \frac{2\sqrt{14}+12\sqrt{2}+\sqrt{21}-6\sqrt{3}}{5}
  2. \frac{2\sqrt{14}+12\sqrt{2}-\sqrt{21}+6\sqrt{3}}{5}
  3. \frac{2\sqrt{14}-12\sqrt{2}-\sqrt{21}+6\sqrt{3}}{5}
  4. \frac{2\sqrt{14}-12\sqrt{2}+\sqrt{21}-6\sqrt{3}}{5}
  5. \frac{2\sqrt{14}+12\sqrt{2}+\sqrt{21}+6\sqrt{3}}{5}

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 0.0/10 (0 votes cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

What is

(3333)_{10}

written in the base system in which (6822)_{10} is written as 5142?

  1. 2560
  2. 4320
  3. 1220
  4. 7986
  5. 3454

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 0.0/10 (0 votes cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for ALGEBRA.

Algebra

Problem

If the sum of money is divided among ‘n’ children, each child will receive $60. If another child is added to the group and the amount is distributed again each child will receive $50. What is the sum of money to be distributed?

  1. $3
  2. $30
  3. $300
  4. $3000
  5. Cannot be determined

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 7.7/10 (3 votes cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

Two numbers are less than 10 and in the ratio 3 : 1. What is their product?

  1. 10
  2. 12
  3. 14
  4. 16
  5. 18

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 0.0/10 (0 votes cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

R can do a piece of work in 20 days and K in 25 days. They work together for 5 days and then K leaves. In how many days would R finish the work?

  1. 5
  2. 9
  3. 10
  4. 11
  5. 12

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 0.0/10 (0 votes cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for GEOMETRY.

Geometry

Problem

A rectangular bin 4 feet long, 3 feet wide and 2 feet high is solidly packed with bricks of dimensions 8 inches, 4 inches and 2 inches. Find the maximum number of bricks that can go in the bin.

  1. 54
  2. 320
  3. 648
  4. 848
  5. cannot be determined

The Usual Method

The maximum number of bricks that can go in the bin =

\frac{4\times 12\times 3\times 12\times 2\times 12}{8\times 4\times 2}=648

(Ans: 3)

Estimated Time to arrive at the answer = 30 seconds.

Using Technique

Since the size of bins is given in feet and that of the bricks is given in inches, we convert feet to inches by multiplying by 12. Thus the answer should be a multiple of 12. Only option ‘3’ is a multiple of 12.

(Note: to find the multiple of 12, find the multiple of 3 as well as 4).

(Ans: 3)

Estimated Time to arrive at the answer = 10 seconds.

VN:F [1.9.13_1145]
Rating: 0.0/10 (0 votes cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for PERCENTAGES.

Percentages

Problem

Two dozen shuttle cocks and four Badminton rackets are to be purchased for a club. The shuttle cocks are priced at 35 cents each and rackets are at $2.75 each. The playground receives a discount of 30% on these prices. What is the total cost of the equipment?

  1. $7.29
  2. $11.43
  3. $13.58
  4. $18.60
  5. $19.40

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 10.0/10 (1 vote cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for PERCENTAGES.

Percentages

Problem

A circle graph of a budget shows expenditure of 26.2% for housing, 28.4% for food, 12% for clothing, 12.7% for taxes and the balance for miscellaneous items. What is the percentage share of miscellaneous items?

  1. 79.3%
  2. 70.3%
  3. 68.5%
  4. 29.7%
  5. 20.7%

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 1.0/10 (1 vote cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)

Here’s and example of a SMART MATH problem for ALGEBRA.

Algebra

Problem

How much water must be added to 100 cc of a 60% solution of sulphuric acid to reduce it to a 40% solution?

  1. 20 cc
  2. 30 cc
  3. 40 cc
  4. 50 cc
  5. 60 cc

Read the rest of this entry »

VN:F [1.9.13_1145]
Rating: 10.0/10 (1 vote cast)
VN:F [1.9.13_1145]
Rating: 0 (from 0 votes)
Donate to LazyMaths

Help us keep this site free!

Get Free Math by Email
Translate
EnglishFrenchGermanItalianPortugueseRussianSpanish