Daily Practice

Higher Plus

10th January 1954

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

1
Algebraic Fractions3 marks
Write 3/(x + 3) + 7/(x - 4) as a single fraction.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 128.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 15 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 3 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 10 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?

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