Daily Practice · Higher
April 1970 5-a-day
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The batch download puts all 5 tiers' April 1970 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 19703 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd April 1970A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 3rd April 1970Work out 49^(3/2).
- 4th April 1970Expand and simplify (x - 1)(x - 4)(x + 1).
- 5th April 1970y is inversely proportional to x. When x = 7, y = 48. Work out y when x = 12.
- 6th April 1970A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 7th April 197017 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th April 1970Four classes in order have frequencies 8, 3, 4, 11. Write down the cumulative frequency at the end of the third class.
- 9th April 1970Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 10th April 1970Make x the subject of y = 6x^2 - 3.
- 11th April 1970y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 9.
- 12th April 1970In triangle ABC, angle A is 42°, angle B is 90° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th April 19701 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th April 197045 fish are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 15th April 1970A meal deal has 8 mains, 8 sides and 2 drinks. How many different meals are possible?
- 16th April 1970Factorise x^2 - 16.
- 17th April 1970y is directly proportional to x. When x = 9, y = 90. Work out y when x = 6.
- 18th April 1970A 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.
- 19th April 197017 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th April 1970A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st April 1970A mass is 27.9 kg, correct to 1 decimal place. Write down the upper bound.
- 22nd April 1970A region is defined by y < 5x - 1. Should the boundary line be solid or dashed, and why?
- 23rd April 1970A town's population is 24000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 24th April 1970The point (-6, 5) is enlarged by scale factor -2 about the centre (0, -3). Write down the coordinates of the image.
- 25th April 19703 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th April 1970A box plot has a minimum of 2 and a maximum of 48. Work out the range.
- 27th April 1970Write 8^-1 as a fraction.
- 28th April 1970Factorise x^2 - 9.
- 29th April 1970A block has volume 35 cm^3 and density 11 g/cm^3. Work out its mass.
- 30th April 1970Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.