Daily Practice · Higher

Daily Practice - Higher

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

7th February 2009

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

1
Fractional and Negative Indices3 marks
Work out 8^(2/3).
2
Simultaneous Equations3 marks
5 teas and 2 cakes cost £19.05. 2 teas and 4 cakes cost £18.50. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 2.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 21 cm and an angle of 29°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
4 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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