Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Reverse Percentages3 marks
A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = 5^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
- 3Repeated Percentage Change3 marks
A town's population is 40000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 4Vectors3 marks
a is the column vector (-2, -6) and b is (-2, 2). Work out 3a - 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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