Daily Practice

Higher Plus

2nd January 1966

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 4 cm, 16 cm and 14 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
5
Bounds3 marks
x = 47 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.

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