Daily Practice · Higher
June 1988 5-a-day
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The batch download puts all 5 tiers' June 1988 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 19882 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 1988A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 3rd June 1988Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 4th June 1988Factorise x^2 - 144.
- 5th June 1988y is inversely proportional to x. When x = 6, y = 10. Work out y when x = 10.
- 6th June 1988A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 7th June 198828 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 1988Four classes in order have frequencies 10, 11, 9, 3. Write down the cumulative frequency at the end of the third class.
- 9th June 1988A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 10th June 1988A region is defined by y <= -4x + 8. Should the boundary line be solid or dashed, and why?
- 11th June 1988y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 7.
- 12th June 1988The point (-3, -3) is enlarged by scale factor -1 about the centre (4, 2). Write down the coordinates of the image.
- 13th June 19882 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 198855 fish are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 15th June 1988A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th June 1988Factorise x^2 + 7x + 6.
- 17th June 1988y is directly proportional to x. When x = 5, y = 35. Work out y when x = 7.
- 18th June 1988Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 64 cm^3. Work out the volume of the smaller.
- 19th June 198819 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 1988A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st June 1988Work out (63 x 10^7) / (7 x 10^5). Give your answer in standard form.
- 22nd June 1988Work out the equation of the line parallel to y = -5x - 8 that passes through (3, -4).
- 23rd June 1988A town's population is 40000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 24th June 1988A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 25th June 19881 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 1988A box plot has a minimum of 15 and a maximum of 58. Work out the range.
- 27th June 1988Write the recurring decimal 0.666... as a fraction in its simplest form.
- 28th June 1988A line has equation y = 4x + 6. Work out the gradient of any line perpendicular to it.
- 29th June 1988A block has volume 165 cm^3 and density 4 g/cm^3. Work out its mass.
- 30th June 1988ABCD is a cyclic quadrilateral. Angle ABC is 59°. Work out angle ADC.