Daily Practice

Higher Plus

12th January 1958

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

1
Bounds3 marks
x = 50 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 13 cm and an area of 29.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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