Squares and Square Root - ICSE STD 8 MATHS Questions

Q 1[1 Mark Question Answer]1 Mark

Give reason to show that none of the numbers, given below, is a perfect square.

✓
$2162$
B
$6843$
C
$9637$
D
$6598$

Answer: A.

View full solution →

Q 2[1 Mark Question Answer]1 Mark

Is it possible for the square of a number to end with $5$ zeroes $?$ Give reason.

View full solution →

Q 3[1 Mark Question Answer]1 Mark

If a number ends with $3$ zeroes, how many zeroes will its square have$?$

View full solution →

Q 4[1 Mark Question Answer]1 Mark

Which of the following numbers will have $6$ at their unit’s place : $(i) \ 262$ $(ii) \ 492$ $(iii) \ 342$ $(iv) \ 432$ $(v) \ 2442$

View full solution →

Q 5[1 Mark Question Answer]1 Mark

Square of which of the following numbers will not have $6$ at their unit’s place :$(i) \ 35\ (ii) \ 23\ (iii) \ 64\ (iv) \ 76\ (v) \ 98$

View full solution →

Q 6[2 Mark Question Answer]2 Marks

If the square of a number ends with $10$ zeroes$, $how many zeroes will the number have?

View full solution →

Q 7[2 Mark Question Answer]2 Marks

Which of the following numbers will not have $1 ($one$)$ at their unit’s place :$ (i)\ 322\ (ii)\ 572\ (iii)\ 692\ (iv)\ 3212\ (v)\ 2652$

View full solution →

Q 8[2 Mark Question Answer]2 Marks

Seeing the value of the digit at unit$’$s place, state which of the following can be square of a number :
$(i)\ 3051\ (ii)\ 2332\ (iii)\ 5684\ (iv)\ 6908\ (v)\ 50699$

View full solution →

Q 9[2 Mark Question Answer]2 Marks

Without doing the actual addition, find the sum of : $1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23$

View full solution →

Q 10[2 Mark Question Answer]2 Marks

Find the square root of : $0.01+\sqrt{0.0064}$

View full solution →

Q 11[3 marks sum]3 Marks

Evaluate: $101^2 – 100^2$

View full solution →

Q 12[3 marks sum]3 Marks

Evaluate: $85^2 – 84^2$

View full solution →

Q 13[3 marks sum]3 Marks

Evaluate: $37^2 – 36^2$

View full solution →

Q 14[3 marks sum]3 Marks

Find the square root of: $\sqrt{108 \times 2028}$

View full solution →

Q 15[3 marks sum]3 Marks

Find the square root of the following correct to two decimal place : $6 \frac{7}{8} \mathrm{C}$

View full solution →

Q 16[4 marks sum]4 Marks

Write three sets of Pythagorean triplets such that each set has numbers less than $30.$

View full solution →

Q 17[4 marks sum]4 Marks

Find the square root of $0.065$ correct to three places of decimal.

View full solution →

Q 18[4 marks sum]4 Marks

A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all $₹ 1,296$

View full solution →

Q 19[4 marks sum]4 Marks

Evaluate: $\sqrt{248+\sqrt{52+\sqrt{144}}}$

View full solution →

Q 20[4 marks sum]4 Marks

Evaluate: $\sqrt{5\left(2 \frac{3}{4}-\frac{3}{10}\right)}$

View full solution →

Q 21[5 marks sum]5 Marks

Evaluate $\sqrt{1 \frac{4}{5} \times 14 \frac{21}{22} \times 2 \frac{7}{55}}$

View full solution →

Q 22[5 marks sum]5 Marks

Evaluate $\sqrt{\frac{25}{32} \times 2 \frac{13}{18} \times 0.25}$