Daily Practice · Higher

Daily Practice - Higher

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

3rd October 2020

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 8.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 28°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
6 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has minimum 3, lower quartile 7, median 16, upper quartile 22 and maximum 25. Work out the interquartile range.
5
Standard Form3 marks
Work out (30 x 10^11) / (5 x 10^2). Give your answer in standard form.

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