Daily Practice · Higher
November 1963 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1963 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1963Make x the subject of y = 4x^2 - 11.
- 2nd November 1963y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 9.
- 3rd November 1963In triangle ABC, angle A is 33°, angle B is 102° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th November 19634 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th November 196325 fish are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 6th November 1963Write the recurring decimal 0.5959... as a fraction in its simplest form.
- 7th November 1963Factorise x^2 - 25.
- 8th November 1963y is directly proportional to x. When x = 9, y = 81. Work out y when x = 13.
- 9th November 1963A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 10th November 196327 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th November 1963A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th November 1963A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 13th November 1963A region is defined by y <= -2x + 9. Should the boundary line be solid or dashed, and why?
- 14th November 1963A town's population is 37000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 15th November 1963The point (-2, 4) is enlarged by scale factor -2 about the centre (-1, 1). Write down the coordinates of the image.
- 16th November 19636 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th November 1963A box plot has a minimum of 3 and a maximum of 40. Work out the range.
- 18th November 1963A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th November 1963Factorise x^2 - 3x - 4.
- 20th November 1963A block has volume 30 cm^3 and density 4 g/cm^3. Work out its mass.
- 21st November 1963Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 351 cm^3. Work out the volume of the smaller.
- 22nd November 196314 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd November 1963A box plot has minimum 11, lower quartile 20, median 27, upper quartile 29 and maximum 39. Work out the interquartile range.
- 24th November 1963Work out (30 x 10^6) / (5 x 10^4). Give your answer in standard form.
- 25th November 1963Work out the equation of the line parallel to y = -4x - 6 that passes through (1, -13).
- 26th November 1963x : y = 3 : 5. Write y in terms of x.
- 27th November 1963A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 28th November 19631 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th November 1963A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 30th November 1963Write the recurring decimal 0.111... as a fraction in its simplest form.