Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Product Rule for Counting3 marks
A code is 3 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 = 4^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
- 3Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 2, y = 14. Work out y when x = 6.
- 4Vectors3 marks
a is the column vector (3, 6) and b is (-3, 6). Work out 2a - 2b as a column vector.
- 5Probability Trees3 marks
3 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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