Daily Practice · Higher

Daily Practice - Higher

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

23rd March 2019

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 2 cakes cost £8.60. 1 tea and 5 cakes cost £14.50. 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 = 5.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 6 cm and an angle of 44°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
1 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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