Daily Practice

Higher

21st February 1953

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 = 6, y = 252. Work out y when x = 4.
2
Vectors3 marks
a is the column vector (2, -6) and b is (3, -3). Work out 3a - 5b as a column vector.
3
Probability Trees3 marks
4 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 12, lower quartile 17, median 27, upper quartile 30 and maximum 33. Work out the interquartile range.
5
Reverse Percentages3 marks
A bill is £504 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 February 1953, including the monthly compilation PDF.