Math Test

Descripción

This test consists of a total of 10 questions. You are given 30 minutes to complete it. You are to complete this test by yourself and you may not use mathematical tools other than a pen/pencil, an eraser, a ruler and a compass. You should have rough paper handy while doing the test. Only your final answer is required. Select your final answer among the 4 options given. Each question is worth 1 mark.
Yizhen Yang
Test por Yizhen Yang, actualizado hace más de 1 año
Yizhen Yang
Creado por Yizhen Yang hace casi 9 años
36
0

Resumen del Recurso

Pregunta 1

Pregunta
Given that circles with centres A and B have radii 3 and 6 respectively, CD is a common tangent that touches the circles at C and D, E is the point of intersection between AB and CD, and AE=5, find CD.
Respuesta
  • 12
  • 13
  • 10
  • 11

Pregunta 2

Pregunta
Given that ABCD and CEHG are squares, CE=14 and AB>14, find the area of ΔAEG.
Respuesta
  • 98
  • 196
  • 100
  • 200

Pregunta 3

Pregunta
A grid of squares measuring 9 units by 6 units has the two corners removed as shown in the figure below. How many squares of any size are contained within this grid?
Respuesta
  • 52
  • 104
  • 142
  • 140

Pregunta 4

Pregunta
Victor's age is a prime number. John's age has 8 factors and he is one year older than Victor. Of the following numbers, which could be the sum of their ages?
Respuesta
  • 69
  • 75
  • 87
  • 107

Pregunta 5

Pregunta
How many 2-digit numbers have the property that the sum of the digits is a perfect square?
Respuesta
  • 15
  • 17
  • 18
  • 19

Pregunta 6

Pregunta
Three positive integers have a sum of 96. The sum of any two is divisible by the third. Which is the largest of these three integers?
Respuesta
  • 68
  • 48
  • 70
  • 69

Pregunta 7

Pregunta
How many real solutions are there to the equation |x-2|+|x+3|=1?
Respuesta
  • 0
  • 1
  • 3

Pregunta 8

Pregunta
Given that m=|x+2|+|x-1|-|2x-4|, find the maximum value of m.
Respuesta
  • 1
  • 5
  • 7
  • 0

Pregunta 9

Pregunta
Given that the area of ΔBDE=1, the area of ΔCDE=3 and DE//AC, find the area of ΔACD.
Respuesta
  • 6
  • 9
  • 12
  • 15

Pregunta 10

Pregunta
2 ordinary dice are rolled. What is the probability that the product of the two numbers obtained is a multiple of 6?
Respuesta
  • 5/12
  • 1/2
  • 13/36
  • 1/3
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