New Learning Composite Mathematics SK Gupta Anubhuti Gangal Class 8 Squares and Square Roots, Cubes and Cube Roots Self Practice 3A Solution
(1) Find the following squares:
(a) 122
(b) 92
(c) 282
(d) 392
(e) 2152
(2) Factories and find the which of the following numbers are not perfect squares.
(a) 784
(b) 1296
(c) 7500
(d) 5184
(e) 980
(f) 4050
(3) Find the smallest number by which each of the given numbers must be multiplied so that the product is a perfect square.
(a) 240
(b) 432
(c) 2592
(d) 18000
(e) 21952
SOLUTION Number 1, 2 & 3:
(4) Find the smallest number by which each of the following numbers should be divided so that question may be perfect square.
(a) 98
(b) 363
(c) 700
(d) 4400
(e) 4374
(5) Just by looking at the following numbers, decide which of them
(i) may or may not be perfect squares
(ii) cannot be perfect squares. Give reasons.
(a) 537
(b) 1042
(c) 800
(d) 384
(e) 625
(f) 6398
(g) 33493
(h) 960
(i) 72000
(j) 1571
SOLUTION Number 4 & 5:
(6) Which of the following numbers would end with digit 1?
(a) 6092
(b) 3272
(c) 3252
(d) 3412
(e) 5462
(7) Which of the following numbers would have digit 6 at units place?
(a) 732
(b) 3242
(c) 2762
(d) 7322
(8) What will be the units digit in the squares of the following numbers?
(a) 642
(b) 932
(c) 2062
(d) 1352
(e) 4992
(f) 2382
(g) 6072
(h) 6522
(i) 6502
(j) 9712
SOLUTION Number 6, 7 & 8:
(9) The square of which of the following numbers would be an odd number/ even number? Why?
(a) 517
(b) 234
(c) 300
(d) 718
(e) 945
(f) 719
(10) What will be the following number of zeros in the square of the numbers?
(a) 40
(b) 400
(c) 8000
(d) 60,000
(11) How many natural numbers lie between
(a) 62 and 72
(b) 192 and 202
(c) 492 and 502
(d) 752 and 762
(12) How many non-square numbers lie between the following pairs of numbers?
(i) 1002 and 1012
(ii) 2152 and 2162
(iii) 5002 and 5012
SOLUTION Number 9, 10, 11 & 12:
(13) Express the following as the sum of two consecutive natural numbers.
(i) 232
(ii) 152
(iii) 192
(iv) 252
(v) 172
(14) Using property of square numbers, find
(i) 242 – 232
(ii) 592 – 582
(iii) 752 – 742
(iv) 1022 – 1012
(15) Using adding, find the sum of the following sets of odd numbers.
(a) 1 + 3 + 5 + 7 + 9
(b) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
(c) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
(16) Express:
(a) 169 as the sum of 13 odd numbers.
(b) 64 as the sum of 8 odd numbers.
SOLUTION Number 13, 14, 15 & 16:
(17) Which of the following sets of three numbers from a Pythogorean triplet?
(a) (6, 8, 10)
(b) (14, 18, 50)
(c) (7, 9 ,12)
(d) (16, 63, 65)
SOLUTION Number 17:
(18) Observe the following pattern and supply the missing digits
112 = 121
1012 = 10201
10012 = 1002001
100012 = 100020001
1000012 = 1___2___1
100000012 = 1___2___1
(19) Using the given pattern find the missing number
12 + 22 + 32 = 32
22 + 32 + 62 = 72
32 + 42 + 122 = 132
42 + 52 + ____2 = 212
52 + ____2 + 302 = 312
62 + 72 + ______2 = _____2
SOLUTION Number 18 & 19:
Now its writing is good thanks for improving handwriting
Aapka maths padhane ka jo tarika hai woh toh ekdam mast hai
Thanks Aditya
i didn’t understand question no. 6 of self practice 3A…….Can you please explain it to me?
Please give me class 8 14 chapter answer
It’s a good thing that we can come here and practice
No.19
Last one is wrong
The answer will 42²,43²