Math Practice (Class 6 – 9) | āĻ—āĻŖāĻŋāϤ āĻ…āύ⧁āĻļā§€āϞāύ⧀ (āĻļā§ā§°ā§‡āĻŖā§€ ā§Ŧ – ⧝)












1. A theatre has 250 seats. On Friday, 178 tickets were sold. On Saturday, 196 tickets were sold. How many tickets were sold in total ? (āĻāϟāĻž āĻĨāĻŋāϝāĻŧ⧇āϟāĻžā§°āϤ ⧍ā§Ģā§ĻāĻ–āύ āφāϏāύ āφāϛ⧇āĨ¤ āĻļ⧁āϕ⧁⧰āĻŦāĻžā§°ā§‡ ā§§ā§­ā§ŽāϟāĻž āφ⧰⧁ āĻļāύāĻŋāĻŦāĻžā§°ā§‡ ⧧⧝ā§ŦāϟāĻž āϟāĻŋāĻ•āϟ āĻŦāĻŋāĻ•ā§ā§°ā§€ āĻš'āϞāĨ¤ āĻŽā§āĻ  āĻ•āĻŋāĻŽāĻžāύ āϟāĻŋāĻ•āϟ āĻŦāĻŋāĻ•ā§ā§°ā§€ āĻš'āϞ ?)

Solution : āϏāĻŽāĻžāϧāĻžāύ
Total tickets sold = Friday + Saturday (āĻŽā§āĻ  āĻŦāĻŋāĻ•ā§ā§°ā§€ āĻšā§‹ā§ąāĻž āϟāĻŋāĻ•āϟ = āĻļ⧁āϕ⧁⧰āĻŦāĻžā§° + āĻļāύāĻŋāĻŦāĻžā§°)
= 178 + 196 = 374 tickets (= ā§§ā§­ā§Ž + ⧧⧝ā§Ŧ = ā§Šā§­ā§ĒāϟāĻž āϟāĻŋāĻ•āϟ)


Ans | āωāĻ¤ā§āϤ⧰: 374 tickets | ā§Šā§­ā§ĒāϟāĻž āϟāĻŋāĻ•āϟ


2. A farmer harvested 135 bags of maize in the morning and 189 bags in the afternoon. If he sold 50 bags, how many bags are left ? āĻāϜāύ āĻ•ā§ƒāώāϕ⧇ āĻĒā§ā§ąāĻž ā§§ā§Šā§Ģ āĻŦāĻ¸ā§āϤāĻž āφ⧰⧁ āφāĻŦ⧇āϞāĻŋ ā§§ā§Žā§¯ āĻŦāĻ¸ā§āϤāĻž āĻŽāĻžāĻ•ā§ˆ āϚāĻĒāĻžāχāĻ›āĻŋāϞāĨ¤ āϝāĻĻāĻŋ āϤ⧇āĻ“āρ ā§Ģā§Ļ āĻŦāĻ¸ā§āϤāĻž āĻŦāĻŋāĻ•ā§ā§°ā§€ āϕ⧰⧇, āϤ⧇āĻ¨ā§āϤ⧇ āĻ•āĻŋāĻŽāĻžāύ āĻŦāĻ¸ā§āϤāĻž āĻŦāĻžāϕ⧀ āĻĨāĻžāĻ•āĻŋāĻŦ ?

Solution : āϏāĻŽāĻžāϧāĻžāύ:
Total harvested (āĻŽā§āĻ  āϚāĻĒā§‹ā§ąāĻž) = 135 + 189 = 324 bags (= ā§§ā§Šā§Ģ + ā§§ā§Žā§¯ = ā§Šā§¨ā§Ē āĻŦāĻ¸ā§āϤāĻž)
Bags left (āĻ…ā§ąāĻļāĻŋāĻˇā§āϟ) = 324 − 50 = 274 bags ( = ā§Šā§¨ā§Ē − ā§Ģā§Ļ = ⧍⧭ā§Ē āĻŦāĻ¸ā§āϤāĻž)


Ans | āωāĻ¤ā§āϤ⧰: 274 bags | ⧍⧭ā§Ē āĻŦāĻ¸ā§āϤāĻž


3. Simplify: 3(2x − 5) + 4(x + 3)

Solution : āϏāĻŽāĻžāϧāĻžāύ:
= 3(2x − 5) + 4(x + 3)
= 6x − 15 + 4x + 12
= 10x − 3


Ans | āωāĻ¤ā§āϤ⧰: 10x − 3


4. If a = 4 and b = −3, find the value of  2a² − 3ab + b². (āϝāĻĻāĻŋ a = 4 āφ⧰⧁ b = −3 āĻšāϝāĻŧ, āϤ⧇āĻ¨ā§āϤ⧇ 2a² − 3ab + b²-ā§° āĻŽāĻžāύ āύāĻŋā§°ā§āĻŖāϝāĻŧ āϕ⧰āĻ•āĨ¤)

Solution : āϏāĻŽāĻžāϧāĻžāύ
= 2(4)² − 3(4)(−3) + (−3)²
= 2(16) + 36 + 9
= 32 + 36 + 9
= 77


Ans | āωāĻ¤ā§āϤ⧰: 77


5. A shopkeeper bought an item for ₹1,200 and sold it for ₹1,500. Find the profit. (āĻāϜāύ āĻĻā§‹āĻ•āĻžāύ⧀āϝāĻŧ⧇ āĻāϟāĻž āĻŦāĻ¸ā§āϤ⧁ ₹1,200-āϤ āĻ•āĻŋāύāĻŋ ₹1,500-āϤ āĻŦāĻŋāĻ•ā§ā§°ā§€ āϕ⧰āĻŋāϞ⧇āĨ¤ āϞāĻžāĻ­ āĻ•āĻŋāĻŽāĻžāύ āĻš'āϞ ?)

Solution : āϏāĻŽāĻžāϧāĻžāύ
Profit = Selling Price − Cost Price (āϞāĻžāĻ­ = āĻŦāĻŋāĻ•ā§ā§°ā§€ āĻŽā§‚āĻ˛ā§āϝ − āĻ•ā§ā§°āϝāĻŧ āĻŽā§‚āĻ˛ā§āϝ)
= ₹1,500 − ₹1,200 (= â‚šā§§,ā§Ģā§Ļā§Ļ − â‚šā§§,⧍ā§Ļā§Ļ)
= ₹300 (= â‚šā§Šā§Ļā§Ļ)


Ans | āωāĻ¤ā§āϤ⧰: ₹300 | â‚šā§Šā§Ļā§Ļ