Edit in JSFiddle

new Vue({
  el: "#app",
  data: {
    newTest: {
      studentName: '',
      score: 0
    },
    tests: [{
      studentName: "Billy",
      score: 76
    }, {
      studentName: "Suzy",
      score: 85
    }, {
      studentName: "Johnny",
      score: 89
    }, {
      studentName: "Emma",
      score: 93
    }]
  },
  methods: {
    addTestScore: function() {
      this.tests.push({
        studentName: this.newTest.studentName,
        score: this.newTest.score
      });
      this.newTest.studentName = '';
      this.newTest.score = 0;
    }
  }
});
<body>
  <div id="app">
    <ul>
      <li v-for="test in tests">
        {{test.studentName}} - {{test.score}}
      </li>
    </ul>
    <span>Student</span>
    <input v-model="newTest.studentName">
    <span>Score</span>
    <input v-model="newTest.score">
    <button @click="addTestScore">Add </button>
  </div>
</body>