Daily Practice · Higher
November 1978 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1978 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1978A block has volume 60 cm^3 and density 4 g/cm^3. Work out its mass.
- 2nd November 1978A 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.
- 3rd November 197812 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th November 1978A box plot has minimum 12, lower quartile 15, median 22, upper quartile 28 and maximum 33. Work out the interquartile range.
- 5th November 1978Write the recurring decimal 0.9494... as a fraction in its simplest form.
- 6th November 1978A region is defined by y < -x + 3. Should the boundary line be solid or dashed, and why?
- 7th November 1978x : y = 5 : 8. Write y in terms of x.
- 8th November 1978The point (-4, 1) is enlarged by scale factor -2 about the centre (-1, -1). Write down the coordinates of the image.
- 9th November 19788 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th November 1978A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 11th November 1978A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 12th November 1978Factorise x^2 - 11x + 28.
- 13th November 1978A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th November 1978Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1344 cm^3. Work out the volume of the smaller.
- 15th November 197816 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th November 1978A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 17th November 1978A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th November 1978Work out the equation of the line parallel to y = -3x - 2 that passes through (1, -4).
- 19th November 1978y is inversely proportional to x. When x = 7, y = 50. Work out y when x = 10.
- 20th November 1978A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 21st November 19784 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd November 1978Four classes in order have frequencies 7, 3, 6, 9. Write down the cumulative frequency at the end of the third class.
- 23rd November 1978Work out (18 x 10^11) / (6 x 10^4). Give your answer in standard form.
- 24th November 1978A line has equation y = -2x + 7. Work out the gradient of any line perpendicular to it.
- 25th November 1978y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 7.
- 26th November 1978ABCD is a cyclic quadrilateral. Angle ABC is 80°. Work out angle ADC.
- 27th November 197811 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th November 197835 fish are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
- 29th November 1978Write the recurring decimal 0.444... as a fraction in its simplest form.
- 30th November 1978For the curve y = -40/x, work out y when x = 10, and write down the equation of its vertical asymptote.