Showing a high score in the menu

Hey guys, I am new in unity and I just can´t find a solution for my problem. I want to display the high score in my menu Scene (I allready got a text that says Highscore:??Highscore??) by using my uiManager script. Can you help me?

using UnityEngine;
using System.Collections;
using UnityEngine.UI;
using UnityEngine.SceneManagement;

public class uiManager : MonoBehaviour {

public Button[] buttons;
public Text scoreText;
public AudioManager am;
bool gameOver;
int score; 

	void Start () {
	gameOver = false;
	score = 0; 
	InvokeRepeating ("scoreUpdate", 1.0f, 0.5f);
}

	void Update () {
	scoreText.text = "Score " + score;

}
public void Play(){
	SceneManager.LoadScene("Game");
}

void scoreUpdate(){
	if (gameOver == false) {
		score += 1;
	}
}

If you want just the Highest score value, you can create a property that will accept only the highest value seted to it:

private int _highScore;
public int highScore
{
   get { return _highScore; }
   set{ _highScore = value > _highScore ? value : _highScore; }
}

At the end of the match just set:

highScore = score; 

//if the current score is greater than the previous one the variable highScore
//will be updated if not will just discard it.

@WizzardH