Daily Practice

Higher Plus

6th July 1966

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

1
Completing the Square3 marks
Write x^2 + 10x - 4 in the form (x + a)^2 + b.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 64.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 3 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 3.5. How many values in total?

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