Daily Practice

Higher

10th January 1987

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Standard Form3 marks
Work out (25 x 10^9) / (5 x 10^5). Give your answer in standard form.
2
Simultaneous Equations3 marks
4 teas and 2 cakes cost £8.00. 4 teas and 5 cakes cost £14.00. Find the price of a tea.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 9.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 68°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
3 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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