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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

Question 1.Draw triangles with the measures given below:i. In ∆ABC, l(AB) = 5.5 cm, l(BC) = 4.2 cm, l(AC) = 3.5 cm.ii. In ∆STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm.iii. In ∆PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm.Solution:i. In ∆ABC, l(AB) = 5.5 … Read more

Question 1.Draw line segments of the lengths given below and draw their perpendicular bisectors:i. 5.3 cmii. 6.7 cmiii. 3.8 cmSolution:i. Line AB is the perpendicular bisector of seg PQ. ii.Line UV is the perpendicular bisector of seg ST. iii.Line ST is the perpendicular bisector of seg LM. Question 2.Draw angles of the measures given below … Read more