Daily Practice · Higher
January 1978 5-a-day
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The batch download puts all 5 tiers' January 1978 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 19786 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd January 1978A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd January 1978Write the recurring decimal 0.888... as a fraction in its simplest form.
- 4th January 1978Expand and simplify (x + 1)(x + 2)(x - 1).
- 5th January 1978A town's population is 4500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 6th January 1978A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 7th January 197827 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 January 1978A box plot has a minimum of 17 and a maximum of 66. Work out the range.
- 9th January 1978Work out 100^(3/2).
- 10th January 1978Make x the subject of y = 3x^2 - 4.
- 11th January 1978A block has volume 160 cm^3 and density 8 g/cm^3. Work out its mass.
- 12th January 1978In triangle ABC, angle A is 51°, angle B is 38° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th January 19781 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th January 1978A box plot has minimum 11, lower quartile 13, median 18, upper quartile 26 and maximum 31. Work out the interquartile range.
- 15th January 1978Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 16th January 1978Factorise x^2 - 49.
- 17th January 1978x : y = 2 : 3. Write y in terms of x.
- 18th January 1978A 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 January 197824 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th January 1978A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 21st January 1978A meal deal has 9 mains, 9 sides and 6 drinks. How many different meals are possible?
- 22nd January 1978A region is defined by y < 2x - 2. Should the boundary line be solid or dashed, and why?
- 23rd January 1978A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 24th January 1978The point (5, 0) is enlarged by scale factor -1 about the centre (-2, -1). Write down the coordinates of the image.
- 25th January 19785 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th January 1978A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 27th January 1978A mass is 33 kg, correct to the nearest whole number. Write down the lower bound.
- 28th January 1978Factorise x^2 + 12x + 27.
- 29th January 1978y is inversely proportional to x. When x = 5, y = 4. Work out y when x = 2.
- 30th January 1978Two 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.
- 31st January 197820 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.