Daily Practice

Higher

6th April 1963

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 = 63. Work out y when x = 5.
2
Vectors3 marks
a is the column vector (6, -3) and b is (4, -2). Work out 2a - 5b as a column vector.
3
Probability Trees3 marks
3 of 5 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 8, lower quartile 15, median 24, upper quartile 32 and maximum 42. Work out the interquartile range.
5
Reverse Percentages3 marks
A bill is £648 including VAT at 20%. Work out the amount before VAT.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of April 1963, including the monthly compilation PDF.