Daily Practice

Higher Plus

29th October 1970

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Simplify (x^2 + x - 12)/(x + 4).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 81.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 5 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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 October 1970, including the monthly compilation PDF.