Daily Practice

Higher

4th August 1956

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 = 3, y = 18. Work out y when x = 7.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 18 cm and 14 cm with an angle of 81° between them. Work out its area, to 1 decimal place.
3
Probability Trees3 marks
1 of 7 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 4, lower quartile 10, median 17, upper quartile 25 and maximum 34. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

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