W9 TS WEEK 9 T3 PS 11TH

A fish tank contains red and yellow fish. Two thirds of the fish are red and the others are yellow. A quarter of the red fish are venomous and a third of the yellow fish are venomous. The rest of the fish are not venomous. What proportion of the venomous fish are red?

• 4/5

• 2/7

• 3/5

• 1/6

Alton and Basing are two villages 6km apart joined by a straight stretch of road. Jane and Katy are two friends who are training for a cycling marathon. Jane lives in Alton and Katy lives in Basing, and they decide to use the road between their villages for their training. Last Saturday at 13:00 Jane left Alton and cycled towards Basing and Katy left Basing and cycled towards Alton. Each time either cyclist reached one of the villages, she turned around and cycled back along the road to the other village. Jane cycled at a constant speed of 15km/h and Katy cycled at a constant speed of 9km/h.

How far from Alton was Jane at 14:00?

• 2.5 KM

• 3 KM

• 3.2 KM

• 3.5

Alton and Basing are two villages 6km apart joined by a straight stretch of road. Jane and Katy are two friends who are training for a cycling marathon. Jane lives in Alton and Katy lives in Basing, and they decide to use the road between their villages for their training. Last Saturday at 13:00 Jane left Alton and cycled towards Basing and Katy left Basing and cycled towards Alton. Each time either cyclist reached one of the villages, she turned around and cycled back along the road to the other village. Jane cycled at a constant speed of 15km/h and Katy cycled at a constant speed of 9km/h.

How far from Alton were Jane and Katy when they passed each other for the first time?

• 2.75 KM

• 3 KM

• 3.5 KM

• 3.75 KM

Alton and Basing are two villages 6km apart joined by a straight stretch of road. Jane and Katy are two friends who are training for a cycling marathon. Jane lives in Alton and Katy lives in Basing, and they decide to use the road between their villages for their training. Last Saturday at 13:00 Jane left Alton and cycled towards Basing and Katy left Basing and cycled towards Alton. Each time either cyclist reached one of the villages, she turned around and cycled back along the road to the other village. Jane cycled at a constant speed of 15km/h and Katy cycled at a constant speed of 9km/h.

At 14:30, Jane decides to stop for a break. How many minutes does she have to wait for Katy to arrive at the same place?

• 15 MINUTES

• 22 MINUTES

• 20 MINUTES

• 25 MINUTES

The costs of tickets for entry to the Hathaway theatre are shown in the following table.

Jim and Gill Beber are taking their five sons to the Hathaway theatre to celebrate Jim’s birthday. The ages of the sons are 18, 16, 15, 12 and 10 years.

What is the least cost that the Beber family will have to pay for their tickets?

• $230

• $235

• $225

• $240

Jim and Gill Beber are taking their five sons to the Hathaway theatre to celebrate Jim’s birthday. The ages of the sons are 18, 16, 15, 12 and 10 years.

The costs of tickets for entry to the Hathaway theatre are shown in the following table.

The Beber family plan to visit the theatre on the same day in a year’s time. They know that the ticket prices will remain unchanged.

How much more will they need to pay for their tickets next year?

• $225

• $230

• $235

• $240

A local school is taking a group to the Hathaway theatre. The group consists of 4 teachers and 25 students, of whom 10 are under 16 years old.

What is the least cost that the group will need to pay for their tickets?

• $865

• $875

• $885

• $890