Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
9th October 2025
- 1Probability Trees3 marks
6 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2Histograms2 marks
A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 3Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.
- 4Trigonometric and Exponential Graphs2 marks
The curve y = 3^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.
- 5Repeated Percentage Change3 marks
A town's population is 8000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
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