Daily Practice · Higher

Daily Practice - Higher

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

2nd January 2025

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

1
Fractional and Negative Indices3 marks
Work out 216^(2/3).
2
Simultaneous Equations3 marks
2 teas and 1 cake cost £6.90. 3 teas and 4 cakes cost £18.60. Find the price of a tea.
3
Repeated Percentage Change3 marks
A town's population is 26500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 15 cm and an angle of 66°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
5 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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