Junior Maths Challenge Practice 2

What is the value of 2 × 0 × 1 + 1?

• 0

• 1

• 2

• 3

• 4

The diagram shows a cuboid in which the area of the shaded face is one-quarter of the area of each of the two visible unshaded faces. The total surface area of the cuboid is 72 cm². What, in cm², is the area of one of the visible unshaded faces of the cuboid?

• 16

• 28.8

• 32

• 36

• 48

What is the smallest number of additional squares which must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2 ?

• 3

• 5

• 7

• 9

• more than 9

The pupils in Year 8 are holding a mock election. A candidate receiving more votes than any other wins. The four candidates receive 83 votes between them. What is the smallest number of votes the winner could receive?

• 21

• 22

• 23

• 41

• 42

Last year’s match at Wimbledon between John Isner and Nicolas Malut, which lasted 11 hours and 5 minutes, set a record for the longest match in tennis history. The fifth set of the match lasted 8 hours and 11 minutes. Approximately what fraction of the whole match was taken up by the fifth set?

• $\frac{1}{5}$

• $\frac{2}{5}$

• $\frac{3}{4}$

• $\frac{9}{10}$

• $\frac{3}{5}$

Peri the winkle leaves on Monday to go and visit Granny, 90m away. Except for rest days, Peri travels 1m each day (24-hour period) at a constant rate and without pause. However, Peri stops for a 24-hour rest every tenth day, that is, after nine days travelling. On which day does Peri arrive at Granny’s?

• Sunday

• Monday

• Tuesday

• Wednesday

• Thursday

A list is made of every digit that is the units digit of at least one prime number. How many of the following numbers appear in the list?

• 1

• 2

• 3

• 4

• 5

One cube has each of its faces covered by one face of an identical cube, making a solid as shown. The volume of the solid is 875 cm³ . What, in cm² , is the surface area of the solid?

• 750

• 800

• 875

• 900

• 1050

Gill leaves Lille by train at 09:00. The train travels the first 27 km at 96 km/h. It then stops at Lens for 3 minutes before travelling the final 29 km to Lillers at 96 km/h. At what time does Gill arrive at Lillers?

• 09:35

• 09:38

• 09:40

• 09:41

• 09:43

Last week Evariste and Sophie both bought some stamps for their collections. Each stamp Evariste bought cost him £1.10, whilst Sophie paid 70p for each of her stamps. Between them they spend exactly £10. How many stamps did they buy in total?

• 9

• 10

• 11

• 12

• 13