Daily Practice

Higher Plus

13th November 1987

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

1
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 20.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 6 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?

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