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NCERT Exemplar · Class 8 · Maths

Chapter 1: Rational Numbers

Practice each question, then open the answer or worked solution.

Questions

152 questions
Q151Written answer

A skirt that is NCERT Exemplar Class 8 Maths Solutions Chapter 1 Image 33 cm long has a hem of NCERT Exemplar Class 8 Maths Solutions Chapter 1 Image 34 cm. How long will the skirt be if the hem is let down?

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Worked solution

Solution:-

From the question it is given that,

Length of the skirt =
NCERT Exemplar Class 8 Maths Solutions Chapter 1 Image 35cm = 287/8 cm

Dimension of hem = NCERT Exemplar Class 8 Maths Solutions Chapter 1 Image 36 cm = 25/8 cm

Length of skirt, if hem is let down = ((287/8) + (25/8)) cm

= 312/8 cm

= 39 cm

Q152Written answer

Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If allowance of each is ₹ 1260 find the amount left with each.

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Worked solution

Solution:-

Where money goes Fraction of allowance
Manavi Kuber
Saving Account ½ 1/3
Spend at mall ¼ 3/5
Left over ? ?

Solution:-

From the question,

Manavi and Kuber each receives and equal allowance = ₹ 1260

Let us assume total cost be ₹ 1

For Manavi, left over = Total cost – Total spends

= 1 – (½ + ¼)

= 1 – (2 + 1)/4

= 1 – (3/4)

= (4 – 3)/4

= ¼

So, Amount = 1260 × ¼ = ₹ 315

For Kuber, left over = Total cost – Total spends

= 1 – (1/3 + 3/5)

= 1 – (5 + 9)/15

= 1 – (14/15)

= (15 – 14)/15

= 1/15

So, Amount = 1260 × (1/15) = ₹ 84