Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
20th December 2022
- 1The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 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.
- 3Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 5. Write y in terms of x.
- 4Vectors3 marks
a is the column vector (-2, 1) and b is (5, -2). Work out 3a - 2b as a column vector.
- 5Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
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