Daily Practice

Higher

7th February 1968

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
2
Simultaneous Equations3 marks
4 teas and 1 cake cost £10.95. 2 teas and 4 cakes cost £13.00. Find the price of a tea.
3
Speed and Density2 marks
A block has volume 150 cm^3 and density 3 g/cm^3. Work out its mass.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 22 cm and an angle of 69°. Work out the side opposite that angle, to 1 decimal place.
5
Probability Trees3 marks
4 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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