Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
14th February 2026
- 1The Product Rule for Counting2 marks
A meal deal has 4 mains, 9 sides and 2 drinks. How many different meals 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 Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 7.
- 4Vectors3 marks
a is the column vector (4, 0) and b is (-2, -1). Work out 5a - 3b as a column vector.
- 5Probability Trees3 marks
1 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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