Daily Practice · Higher

Daily Practice - Higher

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

23rd September 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 27^(2/3).
2
Trigonometric and Exponential Graphs2 marks
The curve y = 3^x is drawn. Work out y when x = 2, and write down where the curve crosses the y-axis.
3
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 5. Write y in terms of x.
4
Vectors3 marks
a is the column vector (5, 4) and b is (5, -1). Work out 3a - 3b as a column vector.
5
Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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