Daily Practice

Higher

23rd January 1957

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Fractional and Negative Indices3 marks
Work out 27^(2/3).
2
Simultaneous Equations3 marks
5 teas and 3 cakes cost £16.50. 1 tea and 4 cakes cost £13.50. Find the price of a tea.
3
Speed and Density2 marks
A block has volume 125 cm^3 and density 11 g/cm^3. Work out its mass.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 25 cm and an angle of 69°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
3 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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