Daily Practice · Higher

Daily Practice - Higher

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

1st August 2026

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Simultaneous Equations3 marks
2 teas and 3 cakes cost £9.95. 4 teas and 2 cakes cost £12.50. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 4.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 16 cm and an angle of 58°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
7 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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