Non-routine Questions

Non-rountine Questions

1) 51/3 = 17
28/4 = 7
17 x 7 = 119 rectangles

2) The answer must be a multiple of 3, 4 and 10 in order for all light to flash at the same time.
Multiples of 10
10
20 = 4x5
30 = 3 x 10
40 = 4 x 10
50
60 = 4 x 15 = 3 x 20 (multiple of both 3 and 4 seconds)
After 60 seconds, 8+1min --> 8.01am

3) 40 + 92 = 132
Perfect condition is groups of 3 pupils take away 40 pupils
Difference between group --> 7 - 3 = 4 (4 pupils per group)
132/4 = 33 benches
(33x3) + 40 = 139 pupils

4) 16 men, 4 women.
Ann cannot play with herself, so M:W=16:3
Bob cannot play with himself, so M:W = 15:4
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Diagnostic Test 5

1) 2450cm3/25cm2 = 98cm

2) 5/8 x 64cm = 40cm
Height = 80cm3/200cm2 = 0.2cm
40cm + 0.2cm = 40.2cm

3) 2/5 x 40cm = 16cm
Height = 5600cm3/ (40cm x 40cm) = 3.5cm
16cm + 3.5cm = 19.5cm

4) 5/6 x 30cm = 25cm
1/4 x 20cm x 20cm x 20cm = 2000cm3
100cm x 80cm x 25cm = 200 000cm3
200 000cm3 - 2000cm3 = 198 000cm3 = 198 litres

5) 5 + 4 + 5 + 4 = 18 units (perimeter)
72/8 = 9
L:B:H = 5:4:8 = 25:36:72
Volume = 45cm x 36cm x 72cm = 116 640cm3