Simplifying Fractions
Directed Numbers
Percentages
Standard Form
Sig Figs & Decimals
100
Simplify fully: 48/72
2/3
100
Calculate: -15 + 8 - (-4)
-3
100
Find 35% of 280
98
100
Write 0.000456 in standard form
4.56 × 10 to the power of -4
100
Round 3.7846 to 2 decimal places and to 3 significant figures
3.78 (both)
200
Simplify fully: 120/180
2/3
200
Calculate: (-6) × (-3) + (-9)
9
200
A price of £80 increases by 15%. What is the new price?
£92
200
Write 78000000 in standard form
7.8 × 10 to the power of 7
200
Round 0.0048756 to 3 significant figures
0.00488
300
Simplify: (2x² - 8) / (x² - 4)
2 (x ≠ ±2)
300
Calculate: (-3)³ - (-2)⁴
-43
300
A number is increased by 20% then decreased by 10%. The final result is 216. Find the original number.
200
300
Calculate (3.2 × 10⁴) × (2.5 × 10⁻³) and give your answer in standard form
8 × 10 to the power of 1
300
Round 0.007845 to 3 significant figures and to 4 decimal places
0.00785 and 0.0078
400
Simplify fully: (3x² - 12x) / (6x - 24)
x/2 (x ≠ 4)
400
Calculate: [(-24) + (-6)] ÷ (-3) × 2
20
400
After successive increases of 10% and 15%, an item costs £506. Find the original price.
£400
400
Evaluate (4.8 × 10⁻⁵) ÷ (1.6 × 10³) and give your answer in standard form
3 × 10 to the power of -8
400
Estimate (48.7 × 0.032) ÷ 0.0097 by rounding each number to 1 significant figure. Is your estimate an overestimate or underestimate?
150 (overestimate)
500
Simplify fully: (x² - 9) / (x² - 6x + 9) and state restrictions
(x + 3)/(x - 3) for x ≠ 3
500
Evaluate: (-2) to the power of -3 + 3 to the power of -2 - (-1) to the power of 4
-91/72
500
A salary of £24000 is increased by 8% then decreased by 5%. What is the final salary?
£24624
500
Calculate (2.5 × 10⁻⁴)² ÷ (5 × 10⁻⁷) and leave your answer in standard form
1.25 × 10 to the power of -1
500
A number is 0.00034891. Write it to 3 significant figures and also in standard form
0.000349 or 3.49 × 10 to the power of -4
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