A bucket completely filled with water, weighs 20 kg . When 3 4 of it is filled with water it weighs 16 kg . What is the weight of the empty bucket ?

Let's assume the weight of the empty bucket is "x" kg. According to the given information: When the bucket is completely filled with water, it weighs 20 kg . When 3 4 of the bucket is filled with water, it weighs 16 kg . Let's set up an equation based on these conditions: x + 3 4 × 20 kg - x = 16 kg Let's solve this equation: x + 3 4 × 20 kg - x = 16 kg x + 3 4 × 20 kg - 3 4 × x = 16 kg x + 15 kg - 3 4 × x = 16 kg x - 3 4 × x = 16 kg - 15 kg x 1 - 3 4 = 1 kg 1 4 × x = 1 kg x = 4 kg Therefore, the weight of the empty bucket is 4 kg .

A post has 1 4 of its length in mud and 1 6 of it in water and the remaining 7 m above water. Find the whole length of the post ?

Let's assume the whole length of the post is " x " meters. According to the given information: 1 4 of the post is in mud, which means 1 4 × x = x 4 m . 1 6 of the post is in water, which means 1 6 × x = x 6 m . The remaining 7 m meters are above the water. Since the above-water length is 7 m , we can subtract this from the total length to find the combined length of the mud and water parts: x - 7 m The sum of the mud and water parts should be equal to the combined length: x 4 + x 6 = x - 7 To solve this equation, we can first find a common denominator for 4 and 6 , which is 12 : 3 x 12 + 2 x 12 = x - 7 . 5 x 12 = x - 7 5 x = 12 x - 7 5 x = 12 x - 84 5 x - 12 x = - 84 - 7 x = - 84 x = - 84 - 7 x = 12 m Therefore, the whole length of the post is 12 metres.

Multiply the sum of 1 1 3 and 2 3 4 by 2 1 7 . The product is divided by 3 15 16 . What will be the result if 1 2 9 is subtracted from the quotient ?

Given, According to the question, we calculate step by step: First, we add 1 1 3 and 2 3 4 . ⇒ 1 1 3 + 2 3 4 = 4 3 + 11 4 = 16 + 33 12 = 49 12 Then we multiply 49 12 by 2 1 7 . ⇒ 49 12 × 15 7 = 7 × 5 3 = 35 3 Next, we divide 35 3 by 3 15 16 . ⇒ 35 3 ÷ 3 15 16 = 35 3 ÷ 63 16 = 35 3 × 16 63 = 5 × 16 3 × 9 = 80 27 Now we subtract 1 2 9 from 80 27 . ⇒ 80 27 - 1 2 9 = 80 27 - 11 9 = 80 27 - 33 27 = 47 27 Hence, the required answer is 47 27 .

E M B I B E

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself

Dipali Sengupta and Bijo Thoms Solutions for Chapter: Fractions, Exercise 9: Test Yourself

Author:Dipali Sengupta & Bijo Thoms

Dipali Sengupta Mathematics Solutions for Exercise - Dipali Sengupta and Bijo Thoms Solutions for Chapter: Fractions, Exercise 9: Test Yourself

Attempt the free practice questions on Chapter 2: Fractions, Exercise 9: Test Yourself with hints and solutions to strengthen your understanding. New Maths Buzz An Activity-based Course in Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Dipali Sengupta and Bijo Thoms Solutions for Chapter: Fractions, Exercise 9: Test Yourself with Hints & Solutions

MEDIUM

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 12

There are $360 °$ in one turn. Find the number of degrees in a quarter turn.

EASY

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 12

There are $360 °$ in one turn. Find the number of degrees in half a turn.

MEDIUM

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 12

There are $360 °$ in one turn. Find what fraction of a turn is $30 ° ?$

MEDIUM

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 12

There are $360 °$ in one turn. Find what fraction of a turn is $45 ° ?$

MEDIUM

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 12

There are $360 °$ in one turn. Find what fraction of a turn is $270 ° ?$

HARD

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 13

A bucket completely filled with water, weighs $20 kg$ . When $\frac{3}{4}$ of it is filled with water it weighs $16 kg$ . What is the weight of the empty bucket $?$

MEDIUM

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 14

A post has $\frac{1}{4}$ of its length in mud and $\frac{1}{6}$ of it in water and the remaining $7 m$ above water. Find the whole length of the post $?$

MEDIUM

7th CBSE

IMPORTANT

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Test Yourself>Q 15

Multiply the sum of $1 \frac{1}{3}$ and $2 \frac{3}{4}$ by $2 \frac{1}{7}$ . The product is divided by $3 \frac{15}{16}$ . What will be the result if $1 \frac{2}{9}$ is subtracted from the quotient $?$

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