Daily Practice · Higher
March 2002 - Higher 5-a-day
Every Higher sheet published in March 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2002ABCD is a cyclic quadrilateral. Angle ABC is 76°. Work out angle ADC.
- 2nd March 200215 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd March 2002A box plot has a minimum of 8 and a maximum of 38. Work out the range.
- 4th March 2002A bill is £96 including VAT at 20%. Work out the amount before VAT.
- 5th March 2002For the curve y = 60/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 6th March 2002A block has volume 100 cm^3 and density 3 g/cm^3. Work out its mass.
- 7th March 2002A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
- 8th March 20025 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th March 2002A box plot has minimum 13, lower quartile 18, median 25, upper quartile 29 and maximum 36. Work out the interquartile range.
- 10th March 2002A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th March 2002Expand and simplify (x - 3)(x + 3)(x + 1).
- 12th March 2002x : y = 3 : 7. Write y in terms of x.
- 13th March 2002A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 14th March 200212 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th March 2002A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 16th March 2002Work out (63 x 10^9) / (9 x 10^4). Give your answer in standard form.
- 17th March 2002Make x the subject of y = 4x^2 - 3.
- 18th March 2002A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 19th March 2002In triangle ABC, angle A is 39°, angle B is 77° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th March 20026 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st March 2002A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 22nd March 2002Write the recurring decimal 0.555... as a fraction in its simplest form.
- 23rd March 2002Factorise x^2 - 9.
- 24th March 2002y is inversely proportional to x. When x = 3, y = 10. Work out y when x = 5.
- 25th March 2002A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 26th March 200220 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th March 2002Four classes in order have frequencies 6, 6, 8, 11. Write down the cumulative frequency at the end of the third class.
- 28th March 2002Work out 8^(2/3).
- 29th March 2002A region is defined by y <= 5x + 5. Should the boundary line be solid or dashed, and why?
- 30th March 2002y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 8.
- 31st March 2002The point (2, -6) is enlarged by scale factor -1 about the centre (2, -3). Write down the coordinates of the image.