Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th February 1993

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(20) + sqrt(180), giving your answer in the form a sqrt(b).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 9) with x(0) = 3. Work out x(1) to 3 decimal places.

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