Daily Practice - Higher
12th December 1996
- 1The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 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 town's population is 14500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 4Vectors3 marks
a is the column vector (-4, -3) and b is (5, 6). Work out 2a - 3b as a column vector.
- 5Probability Trees3 marks
2 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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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1996, including the monthly compilation PDF.