IGCSE 0580 V42/25 Mathematics Worksheet:

The diagram shows two straight lines intersecting two parallel lines. Find the value of x and the value of y.

• x = 70°, y = 65°

• x = 60°, y = 50°

• x = 80°, y = 40°

• x = 90°, y = 30°

Samira picks one of these cards at random and replaces it. The cards are labeled: 1, 2, 3, 4, 5, 6, 7. (a) Find the probability that she picks an odd number.

• 4/7

• 3/7

• 1/2

• 5/7

Samira picks one of these cards at random and replaces it. The cards are labeled: 1, 2, 3, 4, 5, 6, 7. (b) Samira repeats this 35 times. Calculate the number of times Samira is expected to pick an odd number.

• 20

• 15

• 25

• 10

Refer to the diagram. Translate triangle T by the vector (0, -2).

• Triangle at (–1, –1), (–1, 1), (–2, –1)

• Triangle T will move up 2 units, so its new position will be between y = 4 and y = 6, keeping the same shape and orientation.

• Triangle T will move right 2 units, so its new position will be between x = 2 and x = 4, keeping the same shape and orientation.

• Triangle T will move left 2 units, so its new position will be between x = -2 and x = 0, keeping the same shape and orientation.

Refer to the diagram. Describe fully the single transformation that maps triangle T onto triangle U.

• A reflection in the x-axis.

• A rotation of anticlockwise 90° about (2,2).

• A translation 3 units up.

• An enlargement with scale factor 2, centre (0,0).

Solve: 8x + 7 = 39. x =

• 4

• 5

• 3

• 6

Solve: 2(5y - 1) = 24. y =

• 2.6

• 3.5

• 1.8

• 4.2

These are the first 4 terms of a sequence. 11 8 5 2 (a) Find the next term of this sequence.

• -1

• 0

• -2

• 1

These are the first 4 terms of a sequence. 11 8 5 2 (b) Find the nth term of this sequence.

• 14 - 3n

• 11 - 2n

• 8 - 3n

• 14 - 2n

Find the highest common factor (HCF) of 36 and 54.

• 18

• 12

• 9

• 6