Grade 7 Mix test

Find the highest common factor (HCF) of 36, 60 and 96 and lowest common multiple (LCW) of 6, 15 and 16 respectively.

• HCF = 15

  LCM = 220

• HCF = 12

  LCM = 240

• HCF = 10

  LCM = 120

• HCF = 24

  LCM = 160

Write 360 as a product of its prime factors, in index form.

Find the value of the angles x and y. Give a reason for your answer.

• x = 30

  y = 20

  Alternate angles

• x = 20

  y = 30

  Alternate angles

• x = 30

  y = 20

  Corresponding Angles

• x = 30

  y = 30

  Allied Angles

Find the value of x by setting up and solving an equation.

• x = 36

• x = 60

• x = 25

• x = 42

Find the probability of getting a green and a prime number when you spin a spinner and roll a dice at the same time.

A magazine has 160 pages. Kerry estimates that there are 48 pages of advertisements and twice as many pages of photographs. Work out the percentage of advertisements and photographs respectively.

• 35% of advertisements

  70% of photographs

• 30% of advertisements

  60% of photographs

• 25% of advertisements

  50% of photographs

• 20% of advertisements

  40% of photographs

The price of a TV increases from $520 to $648. What is the percentage increase? Give your answer correct to 2 significant figures.

• 15%

• 30%

• 20%

• 25%

In a sale the prices are reduced by 40%. Find the sale price of a jacket reduced from £135.

• £81

• £54

• £60

• £72

Find the surface area and volume of the given triangular prism.

Find the volume of the trapezium prism.