Daily Practice · Higher
June 1973 5-a-day
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The batch download puts all 5 tiers' June 1973 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1973A cone has base radius 2 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd June 197328 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd June 1973A box plot has a minimum of 7 and a maximum of 47. Work out the range.
- 4th June 1973Write the recurring decimal 0.6262... as a fraction in its simplest form.
- 5th June 1973Make x the subject of y = 3x^2 - 6.
- 6th June 1973A block has volume 110 cm^3 and density 4 g/cm^3. Work out its mass.
- 7th June 1973In triangle ABC, angle A is 50°, angle B is 43° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th June 19731 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th June 1973A box plot has minimum 4, lower quartile 12, median 19, upper quartile 29 and maximum 39. Work out the interquartile range.
- 10th June 1973A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 11th June 1973Factorise x^2 - 36.
- 12th June 1973x : y = 2 : 9. Write y in terms of x.
- 13th June 1973A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 14th June 197321 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th June 1973A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 16th June 1973A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th June 1973A region is defined by y < 5x - 4. Should the boundary line be solid or dashed, and why?
- 18th June 1973A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 19th June 1973The point (-4, -6) is enlarged by scale factor -2 about the centre (-3, 1). Write down the coordinates of the image.
- 20th June 19732 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st June 1973A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 22nd June 1973Work out (72 x 10^7) / (9 x 10^3). Give your answer in standard form.
- 23rd June 1973Factorise x^2 + 8x + 7.
- 24th June 1973y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.
- 25th June 1973Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 16 cm^3. Work out the volume of the smaller.
- 26th June 197324 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 June 1973Four classes in order have frequencies 7, 12, 6, 6. Write down the cumulative frequency at the end of the third class.
- 28th June 1973Write the recurring decimal 0.777... as a fraction in its simplest form.
- 29th June 1973Work out the equation of the line parallel to y = 2x + 2 that passes through (5, 15).
- 30th June 1973y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.