Daily Practice · Higher
June 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' June 1993 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1993A meal deal has 5 mains, 8 sides and 3 drinks. How many different meals are possible?
- 2nd June 1993Factorise x^2 - 25.
- 3rd June 1993A town's population is 3500 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 4th June 1993A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 5th June 199318 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th June 1993A box plot has a minimum of 4 and a maximum of 58. Work out the range.
- 7th June 1993A mass is 730 kg, correct to the nearest 10. Write down the lower bound.
- 8th June 1993A region is defined by y <= -3x + 7. Should the boundary line be solid or dashed, and why?
- 9th June 1993A block has volume 20 cm^3 and density 3 g/cm^3. Work out its mass.
- 10th June 1993The point (-3, 5) is enlarged by scale factor -1 about the centre (-2, -2). Write down the coordinates of the image.
- 11th June 19933 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th June 1993A box plot has minimum 14, lower quartile 21, median 23, upper quartile 27 and maximum 36. Work out the interquartile range.
- 13th June 1993Write 9^-3 as a fraction.
- 14th June 1993Factorise x^2 - 16.
- 15th June 1993x : y = 4 : 7. Write y in terms of x.
- 16th June 1993Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 288 cm^3. Work out the volume of the smaller.
- 17th June 199314 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th June 1993A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 19th June 1993Work out (8 x 10^3) x (8 x 10^-2). Give your answer in standard form.
- 20th June 1993Work out the equation of the line parallel to y = 4x - 5 that passes through (6, 34).
- 21st June 1993A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd June 1993A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 23rd June 19933 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th June 1993A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 25th June 1993Write the recurring decimal 0.1919... as a fraction in its simplest form.
- 26th June 1993A line has equation y = -3x + 9. Work out the gradient of any line perpendicular to it.
- 27th June 1993y is inversely proportional to x. When x = 6, y = 40. Work out y when x = 10.
- 28th June 1993ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 29th June 199312 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th June 1993Four classes in order have frequencies 3, 6, 12, 12. Write down the cumulative frequency at the end of the third class.