February 2024
First Printing
500 Copies
Printed and Distributed by: Sherig Parkhang Trust
R-27 & 28, Ramesh Park, Laxmi Nagar, New Delhi-110092
Phone: 2245-3672 © Department of Education, CTA
www.bodyiglobjong.com
Me 'n' Mine
Mental Math
Phone : 01892-222572/222721
Email : education@tibet.net
Department of Education
Central Tibetan Administration
Gangchen Kyishong, Dharamsala-176215, Distt Kangra, H.P. India
New Saraswati House
Frank Educational Aids
Oswaal Books Question Bank
5 3 , 2 3 , 5 12 , 8 12 15 , 4 15 , 0 , 2 6 , 1 , 3 , ,1 3 8 , 16 , 3 , 4 12 4 + 5 11 = 5 11 + 4 3 × 2 5 × 6 7 = 3 × 2 5 × 6 7 7 + 0 = 0 + 7 = 7 1 2 × 1 = 1 × 1 2 = 1 2 5 × 3 8 + 4 = 5 × 3 8 + 5 ×
2 5 x 3 5 x x
3y 4 = 1 2y
1.3 = y 1.2 y = x + 5 x + 13 = 3 5
4a 2a = 1
5n + 4 7n + 4 = 7 9 5x + 6 x = 5 x x 3 + 7 2 = 11 2 x 7 3x 5 + 3 = 0
0.7x + 0.5 3.5x = 2 5
2 (x + 1) + 1 3 (x 5 12 (x 3(a 4 a (a 2 4p 4 2p + 5 2 + 2 3 = p
3 4 kg
L
1 2 kg
1 4 kg
2,02,500
0.000005678
2.3 × 10
39,00,00,000
293 10,00,000
1673
100000000000000000
16 2
× 3 × 36
÷ 28) × 2
) ]
× 3 3
x = 1
x + 7 = 104 × 105
x + 2 5 3 2x + 2x + 2x = 192
+ 1 × 5 = 7 1 4 + 1 2 + 1 3
7 3 × 46
(5 × 2 ) × 6
1.5 × 106
2.5 × 10
2n × 26 2 = 8 n
5 3 × 5 3 = 8x 5 3 x
5m × 53 × 5 5 = 625 m
(3 )2 × (52) × (t )2
(3 )5 × (53) × (t )5
×
×
y x = 5 y = 2 3 y = 16 3 x 500 cm3
l m l = 6 m = 18 (k)
m = 33 l
3x + 2y + 6
xy
8x 8y xy 5xyz2 xy2z xyz2, 7xyz2 5xyz2, 5x2yz 5xyz2 , x2y2z2
7xy + 5yz – 3zx 4yz + 9zx – 4y, –3zx + 5x – 2xy
5xy + 9yz + 3zx + 5x – 4y 5xy – 9yz + 3zx – 5x – 4y
5xy + 10yz + 3zx + 15x – 4y 5xy + 10yz + 3zx + 5x – 6y
4a – 7ab + 3b + 12 12a – 9ab + 5b – 3
8a + 2ab + 2b + 15
8a ab + 2b 8a ab b
5x xyz
20x2yz x2yz x2yz 20xyz
4ab 6b2
24a2b2 24ab3 24ab2 24ab 8xy 3xy, xy
5x3y2 6x3y3 24x3y3 8x2y3
(x (x + 7)
x2 x x2 + 10x + 21
x2 + 4x x2 x
6a2 b + 5ab 2ab
12a3b ab2 + 10ab
6a2 b + 7ab
(x – y)2
12a3b ab2 + 10a2b2
12a2b ab2 + 10ab
x2 + 2xy + y2 x2 xy + y2 x2 xy y2 x2 + y2 a2 – b2
(a b)2 (a b) (a b) (a + b) (a b) (a + b) (a + b)
(a + b)2 + ( )2 2a + 2b 2a b 2a2 + 2b2 2a2 b2
(x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) x + y + z x² + y² + z² xy + yz + zx 0
(2x – 3) (3x + 2) = 6x3 + ax a 4 5
p(x) = 3x3 4x2 x + 12
(3x y)
9x2 y2 6x2 y2
9x2 + 16y2 + 24xy
4x y y a2 + bc × d pq 2pq x2y2 x2y2
(2a + 1)
4x2 3y2
(3a + 2)
l = b = h = 2x
4a 4b
512 2 = 100p p
(a + 1) (a a2 + 1)
9x2 + 16y2 xy
3a a), (a + 5)
7a2bc abc2, 3a2bc, 2abc2
3x + 5y x y + 5
ab bc ca, 2ab + 2bc + 2ca
7x2 x + 7, 5 + 4x2 x
5x2 xy + 4y2 y2 + 5xy x2 + 13 4a b + 3
x2 + 3x 2x2 x + 7 x x
8y2 + 6xy x2 6x2 xy + 5y2
3xyz x2y3z4
(x + y) (x y)
(x + y) (x2 + y2 + 2xy) a2bc 11ab, 13abc2
(ab c)2 + 2abc
x2y) (4x2y xy2 + 4x y)
pqr (p2 + q2 + r2)
3x + 1 x + 2, 4x + 6
(px + qy)(ax by)
(3x + 2y)2 (3x y)2 7 9 a + 9 7 b 2 ab
1000x = (9982)2 2 x
(2x + 5)2 (2x 2
(3x + 5y)2 30xy = 9x2 + 25y2
x4 + 1 x4 x + 1 x
5x2 y2 x2 + 2xy
x2 + 2xy
625 cm x 4x + 5
5x2 y2
+ b = 25 a2 + b2 = 225 ab
(4pq + 3q)2 (4pq q)2 = 48pq2
x + 5 (x2 (2x + 2), (x
3x3y2 6x2y3 + 15xy3
2y2 3xy
x3y2 3xy2 3ab 2cd a b c 1 3a (x y)2 5b (x y)3 (x y) (x y)2 (x y)3 ab (x y)2
y2 y + 12
2y + 3 y + 3 y 2y m4 m + 4 m2 + 4
2
+ 16 6xy y x 2x + y x y
x
x
x
x × 24
x
x
x
23xy x + 54y
(23x + 54) (y 2)
(23xy + 54y x 108)
m2
(23x + 54y) (y 2)
(23x + 54) (y + 2)
m + 4 m2 + 4 m2 m + 16
x2
(x x (x + 2) (x (x + 2) (x + 2) (x x
p2 p
(p p + 2)
(p + 19) (p + 2)
r2 r + 21
(p p
(p + 19) (p
(r r (r r
(r r + 3)
10xy(16x2 y2)
10xy (4x + 3y) (4x y)
(4x + 3y) (4x y)
4x2 + 4x + 1
(2x + 4) (2x + 1)
(2x + 1) (2x + 1)
(r + 7) (r + 3)
10xy (4x + 3y) (4x + 3y)
10xy (3x + 4y) (3x y)
(2x x + 1)
(2x x
(2x2 + 4) ÷ 2
2x2 + 2 x2 + 2 x2 + 4 2x2 + 4
(p3 q6 p6 q3) ÷ p3 q3
p3 q3 p3 q3 p3 q3 q3 p3
57p2qr 114pq 1 4 pr 3 4 pr 1 2 pr 2pr
p(4p2 4p(p
2p + 4 2p p + 2 p
32xy2 x2y y3
2y (x y)2 y (x y)2 xy (x y)2 y (x + 8y)2
4a2 + 9b2 c2 ab
(2a b c) (2a + 3b + 4c) (2a + 3b c) (2a + 3b + 4c)
(2a b c) (2a b + 4c) (a + b + c) (4a b + 4c)
6x2y 9xy2 x2 + yz + xy + xz 10x2
(3x + 5) (3x x2 + ax + b a = , b = x2 2 ÷ x 8 x2 6x ÷ 6x 12x2
13x2y, 169xy
6ab + 12bc
49x2 y2
x2 9 y2 25
3x2y, 18xy2 xy
ax3 bx2 + cx
25ax2 a
a3 + a2 + a + 1
lx + my + mx + ly
3a2b3 a4b 9x2
4x2 x + 25
4
x2 + 9x + 20
2 p
x4 16x2 + 40x + 25
x2 4 + 2x + 4
x3y 9 xy3
51x3y2z ÷ 17xyz
76x3yz3 ÷ 19x2y2
16x4 y4 x4 y4 + x2 y2
(x + y)4 x y)4 1 36 a2b2 16 49 b2c2
18 + 11x + x2
x2 x + 117) ÷ (x
2 y
3 a2 a 4x2 x + 25
4 y4
16x4
(3x4 x2
15(y + 3) (y2 5(y2 y
(2x3 x2 + 16x) ÷ (x x
(11 pq + 4 q )2 pq q )2 = 176 pq 2
x2 x
(x4 x3 + 2x2 + 4x + 8) x8 y8
a2 b2 a + b = (a b)
2x + 4y = 6xy
10(2y y 5
(3a)2 + 5a = 9a + 5a
(5x)2 + 2(3x) x2 + 6x
(y 2 = y2
(x + 2) (x + 3) = x2 + 6
(2a + 6)2 = 4a2 + 12a + 36
(5a + 9b) (a b) = 5a2 b2 a = 5
a2 + 5a + 4 a2
4x2 + 12xy + 9y2
(x2 + 6x + 9)
140o, 40o, 20o, 160o
40o, 70o, 90o, 60o
270o, 150o, 30o, 20o
110o, 40o, 30o, 180o
C x o x + 40o
x y
6y 5x + 10
ABCDEF AD = 18 cm AP = 14 cm, AO = 12 cm, AN = 8 cm, AM = 4 cm, FM EO, CP, BN
5632 m3 16 m
7 m 6 m, 15 m 8400 L
0-9, 10-19, 20-29, 30-39
6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 0-2, 2-4
(3, 3)
3 y- 4
4) (4, 3)
4)
(0, 3) (6, 0) (3, 6) (6, 3)
(0, 2) (3, 3)
(3, 2) (3, 0)
3)
(2, 4) y-
(3, 0)
(0, 0)
(4, 0)
(0, 2)
(2, 3) (8, 8)
(0, 8)
A ( , )
B ( , )
C ( , ) D ( , ) A(5, 0)
