Daily Practice · Higher
April 1962 5-a-day
Printing for a group?
The batch download puts all 5 tiers' April 1962 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 196231 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd April 1962A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd April 1962A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th April 1962Make x the subject of y = 9x^2 - 6.
- 5th April 1962A town's population is 38000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 6th April 1962In triangle ABC, angle A is 38°, angle B is 60° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th April 19623 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th April 1962A box plot has a minimum of 19 and a maximum of 73. Work out the range.
- 9th April 1962Work out (48 x 10^8) / (8 x 10^2). Give your answer in standard form.
- 10th April 1962Factorise x^2 - 64.
- 11th April 1962A block has volume 180 cm^3 and density 8 g/cm^3. Work out its mass.
- 12th April 1962A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 13th April 196216 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th April 1962A box plot has minimum 5, lower quartile 10, median 18, upper quartile 20 and maximum 25. Work out the interquartile range.
- 15th April 1962Write the recurring decimal 0.666... as a fraction in its simplest form.
- 16th April 1962A region is defined by y <= -x + 6. Should the boundary line be solid or dashed, and why?
- 17th April 1962x : y = 5 : 8. Write y in terms of x.
- 18th April 1962The point (4, 5) is enlarged by scale factor -1 about the centre (4, 2). Write down the coordinates of the image.
- 19th April 19621 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th April 1962A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 21st April 1962Work out 25^(3/2).
- 22nd April 1962Factorise x^2 + 8x + 12.
- 23rd April 1962A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 24th April 1962Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 120 cm^3. Work out the volume of the smaller.
- 25th April 196216 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th April 1962A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 27th April 1962Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 28th April 1962Work out the equation of the line parallel to y = -4x - 7 that passes through (2, -18).
- 29th April 1962y is inversely proportional to x. When x = 9, y = 20. Work out y when x = 5.
- 30th April 1962A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.