Daily Practice

Higher Plus

12th June 1952

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

1
Surds3 marks
Simplify sqrt(18) + sqrt(8), giving your answer in the form a sqrt(b).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 7 cm and an area of 35.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.

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