Mathematical Reasoning practice tests — NSW Selective 2027

Two warning lights flash at the same moment. One light then flashes every 15 seconds and the other every 9 seconds. After how many seconds will they next flash at the same time?

A flight departs at 9:10 pm and lasts 3 hours 25 minutes. What is the arrival time in 24-hour format?

In a number sequence, each term after the second term is the sum of the previous two terms. The first two terms are 6, 5. What is the 6th term?

Kira, Vik and Uma share 231 biscuits. For every 5 biscuits Kira gets, Vik gets 4. Uma has 3 times as many biscuits as Vik. How many biscuits does Uma have?

A spinner is divided into the following unequal sectors: orange (1/2 of the disc), yellow (1/4 of the disc), pink (1/8 of the disc), purple (1/8 of the disc). The spinner is spun once. What is the probability that the spinner does NOT land on yellow?

The balance scale shown is exactly level. The left pan holds 3 circles and 1 pentagon; the right pan holds 4 hexagons. One circle weighs 60 g and one hexagon weighs 50 g. What is the weight of one pentagon?

The bar graph shows how many of each kind of animals are in a group. How many legs are there in total?

At the bakery, one pie costs three times as much as one carton of milk. One sausage roll costs $2.10 more than one pie. One pie, one sausage roll and one carton of milk cost $18.90 altogether. How much does one pie cost?

A rectangular lawn measuring 24 m by 12 m is surrounded by a path 3 m wide all the way round. What is the area of the shaded path?

The solid on the left is made from small cubes stacked together. Its Top, Front and Side views are shown on the right. How many small cubes make up the solid?