Daily Practice · Higher

Daily Practice - Higher

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

28th December 2025

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

1
Standard Form2 marks
Work out (2 x 10^7) x (4 x 10^3). Give your answer in standard form.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 6^x is drawn. Work out y when x = 1, and write down where the curve crosses the y-axis.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 36. Work out y when x = 12.
4
Vectors3 marks
a is the column vector (-2, -2) and b is (3, 6). Work out 5a - 5b as a column vector.
5
Probability Trees3 marks
1 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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