Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

21st June 2024

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 8 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 16, 40, 74. Work out the second difference, and the coefficient of n^2.

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