Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

11th August 2024

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

1
Standard Form3 marks
Work out (20 x 10^7) / (5 x 10^3). Give your answer in standard form.
2
Simultaneous Equations3 marks
2 teas and 2 cakes cost £8.50. 1 tea and 4 cakes cost £10.70. Find the price of a tea.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 3, y = 4. Work out y when x = 4.
4
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 12 cm and an angle of 29°. Work out the side adjacent to that angle, to 1 decimal place.
5
Probability Trees3 marks
2 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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