3NT Maths

elimination

100

Solve the simultaneous equations.

x + y = 3

2x + y = 5

x = 2

y = 1

200

Solve the simultaneous equations

2x - y = 7

5x - y = 22

x = 5

y = 3

300

Solve the simultaneous equations

3x + y = 6

5x - y = 2

x = 1

y = 3

400

Solve the simultaneous equations

3x + 2y = 8

x - y = 1

x=2

y=1

500

Solve the simultaneous equations

3x + 5y = 20

x - 3y = 2

x=5

y=1

substitution

100

Solve the simultaneous equations.

y = x

x + y = 6

x=3

y=3

200

Solve the simultaneous equations.

y = x+1

x + y = 7

x=3

y=4

300

Solve the simultaneous equations.

y = x+1

x + 2y = 5

x=1

y=2

400

Solve the simultaneous equations.

y = x+1

2x - y = 6

x = 7

y = 8

500

Solve the simultaneous equations by substitution.

x + 3y = 10

3x + 2y = 9

x=1

y=3

forming equation

100

John has x marbles. Jane has 5 marbles.

They both have y marbles.

Form an equation relating x and y.

x+5=y

200

John has y marbles. Jane has x marbles.

John has twice as many marbles as Jane.

Form an equation relating x and y.

y = 2x

300

John has x marbles. Jane has y marbles.

John has 2 more marbles than Jane.

Form an equation relating x and y.

x = y+2 or x-y =2

400

John has 2x marbles. Jane has y marbles.

Jane has 7 marbles less than John.

Form an equation relating x and y.

2x-y=7 or 2x = 7+y

500

John has x marbles. Jane has y marbles.

John has 4 less marbles than twice of what Jane has.

Form an equation relating x and y.

2y - x = 4
x+4 = 2y
x=2y-4

coordinates table

100

Given that y = 2x, find the value of h in the table.

x |    2     |      3     |      4    |

y |    4     |      6     |      h    |

h=8

200

Given that y = 2x +3, find the value of h in the table.

x |    2     |      3     |      4    |

y |    7     |      9     |      h    |

h = 11

300

Given that y = 3x - 4, find the value of h in the table.

x |    5     |      7     |      9    |

y |    11   |     17    |      h    |

h = 23

400

Given that y = 6 - 2x, find the value of h in the table.

x |    2     |      4     |      8    |

y |    2     |      h     |    -10   |

h = -2

500

Given that 2y + 3x = 5, find the value of h in the table.

x |    -1     |      0     |      2    |

y |     4    |      2.5    |      h    |

h =-0.5

mensuration

100

Find area of a circle with radius of 2 cm.

12.6 cm²

200

Find the circumference of a semicircle with radius of 2cm.

10.3cm

300

Find the volume of a pyramid with a height of 6 cm and base area of 10 cm²

20 cm³

400

Find the volume of a hemisphere with a radius of 5 cm.

262 cm³

500

Find the total surface area of a hemisphere with radius of 4 cm.

151 cm²