Daily Practice

Higher Plus

2nd October 1972

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

1
Factorising Harder Quadratics3 marks
Solve 9x^2 + 18x + 8 = 0.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 27.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 5 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?

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