Daily Practice · Higher
June 1978 5-a-day
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The batch download puts all 5 tiers' June 1978 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1978A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 2nd June 1978A meal deal has 8 mains, 5 sides and 5 drinks. How many different meals are possible?
- 3rd June 1978Make x the subject of y = 7x^2 - 2.
- 4th June 1978y is inversely proportional to x. When x = 9, y = 4. Work out y when x = 4.
- 5th June 1978In triangle ABC, angle A is 41°, angle B is 52° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th June 19781 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th June 1978Four classes in order have frequencies 6, 10, 5, 5. Write down the cumulative frequency at the end of the third class.
- 8th June 1978A mass is 53 kg, correct to the nearest whole number. Write down the upper bound.
- 9th June 1978Factorise x^2 - 144.
- 10th June 1978y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 2.
- 11th June 1978A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 12th June 197826 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th June 197850 newts are marked and released. Later 49 are caught, of which 7 are marked. Estimate the population.
- 14th June 1978Write 3^-2 as a fraction.
- 15th June 1978A region is defined by y < -4x + 7. Should the boundary line be solid or dashed, and why?
- 16th June 1978y is directly proportional to x. When x = 3, y = 6. Work out y when x = 8.
- 17th June 1978The point (-6, 1) is enlarged by scale factor -2 about the centre (-1, 0). Write down the coordinates of the image.
- 18th June 19783 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th June 1978A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th June 1978Work out (6 x 10^8) x (9 x 10^-2). Give your answer in standard form.
- 21st June 1978Factorise x^2 - 4x - 32.
- 22nd June 1978A town's population is 22500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 23rd June 1978Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 448 cm^3. Work out the volume of the smaller.
- 24th June 19789 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th June 1978A box plot has a minimum of 12 and a maximum of 35. Work out the range.
- 26th June 1978Write the recurring decimal 0.3030... as a fraction in its simplest form.
- 27th June 1978Work out the equation of the line parallel to y = 3x + 4 that passes through (4, 22).
- 28th June 1978A block has volume 180 cm^3 and density 3 g/cm^3. Work out its mass.
- 29th June 1978A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 30th June 19784 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.