Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Product Rule for Counting2 marks
A meal deal has 8 mains, 8 sides and 4 drinks. How many different meals are possible?
- 2Trigonometric and Exponential Graphs2 marks
The curve y = 5^x is drawn. Work out y when x = 1, and write down where the curve crosses the y-axis.
- 3Repeated Percentage Change3 marks
A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 4Vectors3 marks
a is the column vector (-1, -5) and b is (-3, -6). Work out 3a - 5b 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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