Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

10th November 2025

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
The 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?
2
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
3
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
4
Vectors3 marks
a is the column vector (-3, 6) and b is (1, -6). Work out 5a - 5b as a column vector.
5
Probability Trees3 marks
4 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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