Daily Practice · Higher

Daily Practice - Higher

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

1st February 2024

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

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.111... as a fraction in its simplest form.
2
Simultaneous Equations3 marks
5 teas and 3 cakes cost £15.20. 3 teas and 2 cakes cost £9.65. Find the price of a tea.
3
Repeated Percentage Change3 marks
A town's population is 36000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 8 cm and an angle of 53°. 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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