Daily Practice · Higher

Daily Practice - Higher

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

4th October 1997

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 = 2, y = 24. Work out y when x = 6.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 11 cm and an angle of 32°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
6 of 8 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 6, lower quartile 14, median 19, upper quartile 29 and maximum 31. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.9797... as a fraction in its simplest form.

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