Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
2nd March 2026
- 1Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 4Trigonometric and Exponential Graphs2 marks
The curve y = 4^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
- 5Repeated Percentage Change3 marks
A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
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