Fractions, Decimals and Percentages (Copy)
1. Identify each of the following as a proper fraction, improper fraction, or mixed number: (3 marks)
a) 7/9
b) 11/4
c) 3 ½
2. Write the following fractions in their simplest form: (4 marks)
a) 15/25
b) 18/24
c) 40/100
d) 12/16
3. Convert the following improper fractions to mixed numbers: (2 marks)
a) 17/5
b) 23/4
4. Convert the following mixed numbers to improper fractions: (2 marks)
a) 4 ⅓
b) 2 ⁴⁄₅
5. Fill in the blanks with equivalent values: (4 marks)
a) ½ = ______ %
b) 0.4 = ______ %
c) 75% = ______ fraction in simplest form
d) 0.25 = ______ %
6. Convert the following decimals to fractions in simplest form: (3 marks)
a) 0.6
b) 0.8
c) 0.2
Section B: Structured Questions (Calculator Allowed)
Total Marks: 20
7. Convert the following fractions to percentages: (4 marks)
a) 3/5
b) 7/8
c) 9/20
d) 2/25
8. Convert the following percentages to decimals: (3 marks)
a) 45%
b) 12%
c) 6%
9. A student scored 18 out of 25 marks in a test.
Express this score as a percentage. (2 marks)
10. Convert the following: (6 marks)
a) 0.72 to a percentage
b) 65% to a fraction in simplest form
c) 1 ¾ to a decimal
11. A shop gives a discount of 20%. The original price of a jacket is $85.
Calculate the discount amount. (2 marks)
What is the sale price after discount? (2 marks)
Marking Scheme with Detailed Explanations
Section A
1.
a) Proper fraction (1 mark)
b) Improper fraction (1 mark)
c) Mixed number (1 mark)
2. Simplify:
a) 15/25 = 3/5 (1 mark)
b) 18/24 = 3/4 (1 mark)
c) 40/100 = 2/5 (1 mark)
d) 12/16 = 3/4 (1 mark)
3. Improper → Mixed:
a) 17/5 = 3 2/5 (1 mark)
b) 23/4 = 5 3/4 (1 mark)
4. Mixed → Improper:
a) 4 ⅓ = (4×3)+1 = 13/3 (1 mark)
b) 2 ⁴⁄₅ = (2×5)+4 = 14/5 (1 mark)
5. Fill in the blanks:
a) ½ = 50% (1 mark)
b) 0.4 = 40% (1 mark)
c) 75% = 3/4 (1 mark)
d) 0.25 = 25% (1 mark)
6. Decimals to Fractions:
a) 0.6 = 3/5 (1 mark)
b) 0.8 = 4/5 (1 mark)
c) 0.2 = 1/5 (1 mark)
Section B
7. Fractions to Percentages:
a) 3/5 × 100 = 60% (1 mark)
b) 7/8 × 100 = 87.5% (1 mark)
c) 9/20 × 100 = 45% (1 mark)
d) 2/25 × 100 = 8% (1 mark)
8. Percentages to Decimals:
a) 45% = 0.45 (1 mark)
b) 12% = 0.12 (1 mark)
c) 6% = 0.06 (1 mark)
**9. (18/25) × 100 = 72% (2 marks)
10. Conversions:
a) 0.72 × 100 = 72% (2 marks)
b) 65% = 65/100 = 13/20 (2 marks)
c) 1 ¾ = 1 + 0.75 = 1.75 (2 marks)
11. Discount Calculation:
20% of $85 = (20/100) × 85 = $17 (2 marks)
Sale price = 85 – 17 = $68 (2 marks)