Prime Numbers
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Find the HCF of 12 and 18.
6
Solve: x + 7 = 15
x = 8
What is the sum of interior angles in a triangle?
180°
Find 10% of 90.
9
Write all the prime numbers less than 15.
2, 3, 5, 7, 11, 13
Find the LCM of 4 and 10.
20
Solve: 3x = 18
x = 6
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Simplify the ratio 12 : 18.
2 : 3
How many prime numbers are there between 10 and 30?
6
Find the HCF of 24 and 36.
12
Solve simultaneously: x + y = 10, x − y = 2
x = 6, y = 4
Two parallel lines are cut by a transversal. If one angle is 60°, what is the corresponding angle?
60°
£60 is shared in the ratio 2 : 3. How much does the larger share get?
£36
Which of these is NOT prime: 51, 53, 59?
51
Find the LCM of 6 and 15.
30
Factorise: 6x + 9
3(2x + 3)
A right-angled triangle has legs 6 cm and 8 cm. Find the hypotenuse.
10 cm
A map scale is 1 : 1000.
If the map distance is 5 cm, what is the real distance?
50 m
Find the smallest prime number greater than 40.
41
Two bells ring every 8 minutes and every 12 minutes. If they ring together now, when will they ring together again?
24 minutes
3(2x − 5) / 4 + (x + 1) / 2 = 5
Multiply all terms by 4:
3(2x − 5) + 2(x + 1) = 20
6x − 15 + 2x + 2 = 20
8x − 13 = 20
8x = 33
x = 33 / 8
A right-angled triangle has sides in the ratio 3 : 4 : 5.
The difference between the hypotenuse and the longer shorter side is 14 cm.
Find the length of each side
Sides are 3x, 4x, and 5x
5x − 4x = 14
x = 14
So the sides are:
42 cm, 56 cm, and 70 cm
The ratio of boys to girls in a club is 7 : 9.
After 14 boys leave and 6 girls join, the ratio becomes 2 : 3.
How many students were originally in the club?
Originally:
Boys = 56
Girls = 72
Total = 128 students