CBSE MATHEMATICS • SELECTED CENTRAL & STATE COMPETITIVE EXAMS
AIMSSchool of MathematicsAim through AIMS

GANITA PRAKASH · GRADE 8 · PART II · CHAPTER 1

Practice

Think first. Use AI purposefully. Verify always.

Seven progressive AIMS sprints, derived from the chapter ideas. Estimate before calculating; where possible, check with a second method. Enter exact fractions for recurring results. These are learning checks, not a timed examination.

Sprint 1 — CONVERT

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Q1. Express 9/20 as a percentage. Enter the number before %.
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Q2. Express 0.43 as a percentage.
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Q3. Which is exactly one third?
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Sprint 2 — FIND

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Q1. Estimate first: 25% of 120 g is near which familiar share? Then enter its mass in grams.
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Q2. Find 35% of 95 g. Enter grams.
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Q3. How many seconds are 1% of an hour?
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Sprint 3 — ESTIMATE / REVERSE

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Q1. Find 15% of 80 using 10% and 5%.
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Q2. 40% of a journey is 92 km. Enter the full distance in km.
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Q3. 80% of a number is 40. Enter the number.
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Sprint 4 — COMPARE / CHANGE

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Q1. Which test score has the greater proportion?
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Q2. Attendance falls from 160 to 100. Enter the percentage decrease.
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Q3. A price rises from ₹60 to ₹100. Enter the exact increase percentage as a fraction (number before %).
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Sprint 5 — MONEY

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Q1. CP is ₹900, MP is ₹1800, discount 35%. Enter the selling price in rupees.
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Q2. A taxable amount is ₹8250 and the given tax rate is 18%. Enter the total bill in rupees.
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Q3. A 35% markup is followed by a 30% discount. What is the result on cost?
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Q4. Revenue ₹150000; goods cost ₹100000; other expenses ₹5000. Enter net-profit-on-revenue percentage.
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Sprint 6 — GROW

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Q1. For a 10% annual rate in A = p(1 + rt), enter decimal r.
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Q2. ₹6000 at simple interest of 10% per year for 3 years: enter the final amount.
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Q3. ₹6000 at 10% annually compounded for 3 years: enter the final amount.
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Q4. ₹21000 loses 5% of its current value each year. Enter its value after 2 years.
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Sprint 7 — Mixed Mastery

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Q1. 30% then 20% discount: enter the overall discount percentage.
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Q2. A quantity rises by 20%, then falls by 20%. What remains?
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Q3. A population model changes by +5%, −2%, −3%. Enter the final multiplier.
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Q4. A graph shows 26% of one group and 37% of another can use a computer. Can the counts be compared?
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