Daily Practice · Higher

Daily Practice - Higher

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

26th November 2022

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices2 marks
Write 9^-1 as a fraction.
2
Simultaneous Equations3 marks
3 teas and 4 cakes cost £11.75. 4 teas and 3 cakes cost £10.30. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 9.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 6 cm and an angle of 53°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
2 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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