Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st March 1997

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 9 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional Probability3 marks
A bag holds 6 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
5
Algebraic Fractions3 marks
Write 4/(x - 4) + 4/(x - 3) as a single fraction.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Any date always gives the same five questions, so a sheet can be set again or shared. All of March 1997, including the monthly compilation PDF.