Daily Practice · Higher
August 1976 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1976 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1976y is inversely proportional to x. When x = 5, y = 6. Work out y when x = 3.
- 2nd August 1976In triangle ABC, angle A is 77°, angle B is 70° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd August 19764 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 1976Four classes in order have frequencies 9, 4, 7, 4. Write down the cumulative frequency at the end of the third class.
- 5th August 1976Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 6th August 1976Factorise x^2 - 64.
- 7th August 1976y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 2.
- 8th August 1976A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 9th August 197621 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th August 197630 beetles are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
- 11th August 1976A meal deal has 6 mains, 7 sides and 2 drinks. How many different meals are possible?
- 12th August 1976A region is defined by y <= 4x + 2. Should the boundary line be solid or dashed, and why?
- 13th August 1976y is directly proportional to x. When x = 4, y = 36. Work out y when x = 5.
- 14th August 1976The point (-2, -3) is enlarged by scale factor -2 about the centre (-2, -3). Write down the coordinates of the image.
- 15th August 19762 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 1976A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th August 1976A mass is 10.8 kg, correct to 1 decimal place. Write down the lower bound.
- 18th August 1976Factorise x^2 + 2x - 48.
- 19th August 1976A town's population is 27500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 20th August 1976Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1792 cm^3. Work out the volume of the smaller.
- 21st August 197612 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 1976A box plot has a minimum of 4 and a maximum of 49. Work out the range.
- 23rd August 1976Write 7^-3 as a fraction.
- 24th August 1976Work out the equation of the line parallel to y = 5x + 1 that passes through (5, 15).
- 25th August 1976A block has volume 195 cm^3 and density 3 g/cm^3. Work out its mass.
- 26th August 1976A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 27th August 19763 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 1976A box plot has minimum 14, lower quartile 19, median 27, upper quartile 33 and maximum 35. Work out the interquartile range.
- 29th August 1976Work out (2 x 10^6) x (9 x 10^-3). Give your answer in standard form.
- 30th August 1976A line has equation y = 5x + 4. Work out the gradient of any line perpendicular to it.
- 31st August 1976x : y = 5 : 9. Write y in terms of x.