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Question 1.i. 25, 40ii. 56, 32iii. 40, 60, 75iv. 16, 27v. 18, 32,48vi. 105, 154vii. 42, 45, 48viii. 57, 75, 102ix. 56, 57x. 777, 315, 588Solution:i. 25, 40 ∴ 25 = 5 × 540 = 2 × 2 × 2 × 5∴ HCF of 25 and 40 = 5 ii. 56, 32∴ 56 = 2 … Read more

Question 1.Factorize the following numbers into primes:i. 32ii. 57iii. 23iv. 150v. 216vi. 208vii. 765viii. 342ix. 377x. 559Solution:i. 32 ∴ 32 = 2 × 2 × 2 × 2 × 2 ii. 57∴ 57 = 3 × 19 iii. 23∴ 23 = 23 × 1 iv. 150∴ 150 = 2 × 3 × 5 × 5 … Read more

Question 1.Which number is neither a prime number nor a composite number?Solution:1 Question 2.Which of the following are pairs of co-primes?i. 8,14ii. 4,5iii. 17,19iv. 27,15Solution:i. Factors of 8: 1, 2, 4, 8Factors of 14: 1, 2, 7, 14∴ Common factors of 8 and 14: 1,2∴ 8 and 14 are not a pair of co-prime numbers. … Read more

Question 1.Solvei. (-96) ÷ 16ii. 98 ÷ (-28)iii. (-51) ÷ 68iv. 38 ÷ (-57)v. (-85) ÷ 20vi. (-150) ÷ (-25)vii. 100 ÷ 60viii. 9 ÷ (-54)ix. 78 ÷ 65x. (-5) ÷ (-315)Solution:i. (-96) ÷ 16 ii. 98 ÷ (-28) iii. (-51) ÷ 68 iv. 38 ÷ (-57) v. (-85) ÷ 20 vi. (-150) ÷ (-25) … Read more

Question 1.Multiply: Solution: Intext Questions and Activities Question 1.In the previous class, we have learnt to add and subtract integers. Using those methods, fill in the blanks below. (Textbook pg. no. 11) Solution: Question 2.Write a number in each bracket to obtain the answer ‘3’ in each operation. (Textbook pg. no. 11) Solution: Question 3.Multiply … Read more

Question 1.Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures. Solution:i. ∠AOC ≅ ∠PQRii. ∠DOC ≅ ∠LMNiii. ∠AOB ≅ ∠BOC ≅ ∠RST Intext Questions and Activities Question 1.Observe the given angles and write the names of those having equal measures.(Textbook pg. no. … Read more

Construct triangles of the measures given below: Question 1.In ∆MAN, m∠MAN = 90°, l(AN) = 8 cm, l(MN) = 10 cm.Solution: Question 2.In the right-angled ∆STU, hypotenuse SU = 5cm and l(ST) = 4cm.Solution: Question 3.In ∆ABC, l(AC) = 7.5 cm, m∠ABC = 90°, l(BC) = 5.5cm.Solution: Question 4.In ∆PQR, l(PQ) = 4.5 cm, l(PR) … Read more

Question 1.Write the names of pairs of congruent line segments. (Use a divider to find them.)i. ___ii. ___iii. ___iv. ___Solution:i. seg BG ≅ seg CGii. seg NG ≅ seg MG ≅ seg EG ≅ seg RG Question 2.On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill … Read more

Construct triangles of the measures given below: Question 1.In ∆SAT, l(AT) = 6.4 cm, m∠A = 45°, m∠T = 105°.Solution: Question 2.In ∆MNP, l(NP) = 5.2 cm, m∠N = 70°, m∠P = 40°Solution: Question 3.In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°.Solution:In ∆EFG,m∠E + m∠F + m∠G = 180° …(sum of … Read more

Draw triangles with the measures given below: Question 1.In ∆MAT, l(MA) = 5.2 cm, m∠A = 80°, l(AT) = 6 cm.Solution: Question 2.In ∆NTS, m∠T = 40°, l(NT) = l(TS) = 5 cm.Solution: Question 3.In ∆FUN, l(FU) = 5 cm, l(UN) = 4.6 cm, m∠U = 110°.Solution: Question 4.In ∆PRS, l(RS) = 5.5 cm, l(RP) … Read more