Daily Practice · Higher

Daily Practice - Higher

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

13th July 2025

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.
2
Simultaneous Equations3 marks
5 teas and 2 cakes cost £13.80. 1 tea and 5 cakes cost £16.10. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 6, y = 72. Work out y when x = 12.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 14 cm and an angle of 44°. Work out the side opposite that angle, to 1 decimal place.
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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