Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
8th January 2024
- 1Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6969... as a fraction in its simplest form.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = 5^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.
- 3Repeated Percentage Change3 marks
A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 4Vectors3 marks
a is the column vector (0, 6) and b is (4, -6). Work out 5a - 3b as a column vector.
- 5Probability Trees3 marks
4 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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