Daily Practice

Higher Plus

26th February 1968

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

1
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -5, -6, -5, -2. Work out the second difference, and the coefficient of n^2.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 80.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 9 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?

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