Daily Practice

Higher

23rd November 1986

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

1
Surds2 marks
Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
4 teas and 1 cake cost £8.00. 1 tea and 3 cakes cost £6.40. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 9, y = 18. Work out y when x = 3.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 5 cm and an angle of 67°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
1 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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